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104986752 = 2731321031
BaseRepresentation
bin1100100000111…
…11100010000000
321022112212202020
412100133202000
5203334034002
614230121440
72413241553
oct620374200
9238485666
10104986752
1154298112
122b1b0280
131899b550
14dd2c69a
15933c2bc
hex641f880

104986752 has 64 divisors (see below), whose sum is σ = 300336960. Its totient is φ = 32302080.

The previous prime is 104986727. The next prime is 104986769. The reversal of 104986752 is 257689401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1049867522 = 22044436191019008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5524 + ... + 15507.

It is an arithmetic number, because the mean of its divisors is an integer number (4692765).

Almost surely, 2104986752 is an apocalyptic number.

104986752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104986752 is an abundant number, since it is smaller than the sum of its proper divisors (195350208).

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

104986752 is a wasteful number, since it uses less digits than its factorization.

104986752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21061 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 104986752 is about 10246.3043093595. The cubic root of 104986752 is about 471.7495559242.

The spelling of 104986752 in words is "one hundred four million, nine hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 21031 42062 63093 84124 126186 168248 252372 273403 336496 504744 546806 672992 820209 1009488 1093612 1345984 1640418 2018976 2187224 2691968 3280836 4037952 4374448 6561672 8075904 8748896 13123344 17497792 26246688 34995584 52493376 104986752