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3872263920 = 243574195501
BaseRepresentation
bin1110011011001110…
…0000111011110000
3100222212100101111020
43212303200323300
530412244421140
61440124015440
7164646462120
oct34663407360
910885311436
103872263920
111707879218
12900991580
13499319535
1428a3c2c80
15179e426d0
hexe6ce0ef0

3872263920 has 160 divisors (see below), whose sum is σ = 13754119680. Its totient is φ = 882816000.

The previous prime is 3872263919. The next prime is 3872263933. The reversal of 3872263920 is 293622783.

It is a super-2 number, since 2×38722639202 = 29988855732267532800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 701170 + ... + 706670.

It is an arithmetic number, because the mean of its divisors is an integer number (85963248).

Almost surely, 23872263920 is an apocalyptic number.

3872263920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872263920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6877059840).

3872263920 is an abundant number, since it is smaller than the sum of its proper divisors (9881855760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3872263920 is a wasteful number, since it uses less digits than its factorization.

3872263920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 3872263920 is about 62227.5173857997. The cubic root of 3872263920 is about 1570.3205587755.

The spelling of 3872263920 in words is "three billion, eight hundred seventy-two million, two hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 419 420 560 838 840 1257 1676 1680 2095 2514 2933 3352 4190 5028 5501 5866 6285 6704 8380 8799 10056 11002 11732 12570 14665 16503 16760 17598 20112 22004 23464 25140 27505 29330 33006 33520 35196 38507 43995 44008 46928 50280 55010 58660 66012 70392 77014 82515 87990 88016 100560 110020 115521 117320 132024 140784 154028 165030 175980 192535 220040 231042 234640 264048 308056 330060 351960 385070 440080 462084 577605 616112 660120 703920 770140 924168 1155210 1320240 1540280 1848336 2304919 2310420 3080560 4609838 4620840 6914757 9219676 9241680 11524595 13829514 16134433 18439352 23049190 27659028 32268866 34573785 36878704 46098380 48403299 55318056 64537732 69147570 80672165 92196760 96806598 110636112 129075464 138295140 161344330 184393520 193613196 242016495 258150928 276590280 322688660 387226392 484032990 553180560 645377320 774452784 968065980 1290754640 1936131960 3872263920