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48373920 = 2532574799
BaseRepresentation
bin1011100010001…
…0000010100000
310101000122112200
42320202002200
544340431140
64444453200
71125112560
oct270420240
9111018480
1048373920
1125340051
121424a200
13a03922a
1465d2da0
1543a8030
hex2e220a0

48373920 has 144 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 11054592.

The previous prime is 48373909. The next prime is 48373921. The reversal of 48373920 is 2937384.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×483739202 = 4680072272332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48373921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7681 + ... + 12479.

It is an arithmetic number, because the mean of its divisors is an integer number (1310400).

Almost surely, 248373920 is an apocalyptic number.

48373920 is a gapful number since it is divisible by the number (40) 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 48373920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

48373920 is an abundant number, since it is smaller than the sum of its proper divisors (140323680).

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

48373920 is a wasteful number, since it uses less digits than its factorization.

48373920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4827 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 48373920 is about 6955.1362315917. The cubic root of 48373920 is about 364.3653699595.

The spelling of 48373920 in words is "forty-eight million, three hundred seventy-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 4799 5040 9598 10080 14397 19196 23995 28794 33593 38392 43191 47990 57588 67186 71985 76784 86382 95980 100779 115176 134372 143970 153568 167965 172764 191960 201558 215955 230352 268744 287940 302337 335930 345528 383920 403116 431910 460704 503895 537488 575880 604674 671860 691056 767840 806232 863820 1007790 1074976 1151760 1209348 1343720 1382112 1511685 1612464 1727640 2015580 2303520 2418696 2687440 3023370 3224928 3455280 4031160 4837392 5374880 6046740 6910560 8062320 9674784 12093480 16124640 24186960 48373920