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3890493300 = 2235254123971
BaseRepresentation
bin1110011111100100…
…0011011101110100
3101001010122112111110
43213321003131310
530431431241200
61442014435020
7165260435031
oct34771033564
911033575443
103890493300
11171709a221
12906b02a70
134a002ca55
1428c9aa388
1517b843b50
hexe7e43774

3890493300 has 72 divisors (see below), whose sum is σ = 11277771232. Its totient is φ = 1035504000.

The previous prime is 3890493287. The next prime is 3890493301. The reversal of 3890493300 is 33940983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890493301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 150315 + ... + 174285.

Almost surely, 23890493300 is an apocalyptic number.

3890493300 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 3890493300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5638885616).

3890493300 is an abundant number, since it is smaller than the sum of its proper divisors (7387277932).

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

3890493300 is a wasteful number, since it uses less digits than its factorization.

3890493300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24529 (or 24522 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 3890493300 is about 62373.8190268962. The cubic root of 3890493300 is about 1572.7808909617.

The spelling of 3890493300 in words is "three billion, eight hundred ninety million, four hundred ninety-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 541 1082 1623 2164 2705 3246 5410 6492 8115 10820 13525 16230 23971 27050 32460 40575 47942 54100 71913 81150 95884 119855 143826 162300 239710 287652 359565 479420 599275 719130 1198550 1438260 1797825 2397100 3595650 7191300 12968311 25936622 38904933 51873244 64841555 77809866 129683110 155619732 194524665 259366220 324207775 389049330 648415550 778098660 972623325 1296831100 1945246650 3890493300