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3852111072 = 253192717793
BaseRepresentation
bin1110010110011010…
…1000110011100000
3100221110102111222110
43211212220303200
530342120023242
61434124035320
7164313255345
oct34546506340
910843374873
103852111072
1116a7464077
128b6092b40
134950b1684
142878587cc
151782b139c
hexe59a8ce0

3852111072 has 96 divisors (see below), whose sum is σ = 10684638720. Its totient is φ = 1211811840.

The previous prime is 3852111071. The next prime is 3852111077. The reversal of 3852111072 is 2701112583.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38521110722 = 29677519422049978368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3852111071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 490408 + ... + 498200.

It is an arithmetic number, because the mean of its divisors is an integer number (111298320).

Almost surely, 23852111072 is an apocalyptic number.

3852111072 is a gapful number since it is divisible by the number (32) 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 3852111072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5342319360).

3852111072 is an abundant number, since it is smaller than the sum of its proper divisors (6832527648).

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

3852111072 is a wasteful number, since it uses less digits than its factorization.

3852111072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8096 (or 8088 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 3852111072 is about 62065.3774015755. The cubic root of 3852111072 is about 1567.5916219221.

The spelling of 3852111072 in words is "three billion, eight hundred fifty-two million, one hundred eleven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 271 304 456 542 608 813 912 1084 1626 1824 2168 3252 4336 5149 6504 7793 8672 10298 13008 15447 15586 20596 23379 26016 30894 31172 41192 46758 61788 62344 82384 93516 123576 124688 148067 164768 187032 247152 249376 296134 374064 444201 494304 592268 748128 888402 1184536 1776804 2111903 2369072 3553608 4223806 4738144 6335709 7107216 8447612 12671418 14214432 16895224 25342836 33790448 40126157 50685672 67580896 80252314 101371344 120378471 160504628 202742688 240756942 321009256 481513884 642018512 963027768 1284037024 1926055536 3852111072