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104057952 = 2531763761
BaseRepresentation
bin1100011001111…
…00110001100000
321020210200200020
412030330301200
5203114323302
614154153440
72402322645
oct614746140
9236720606
10104057952
1153813309
122aa22880
131873486b
14db69dcc
159206ebc
hex633cc60

104057952 has 48 divisors (see below), whose sum is σ = 289224432. Its totient is φ = 32645120.

The previous prime is 104057909. The next prime is 104057963. The reversal of 104057952 is 259750401.

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

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, 30249 + ... + 33512.

It is an arithmetic number, because the mean of its divisors is an integer number (6025509).

Almost surely, 2104057952 is an apocalyptic number.

104057952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

104057952 is an abundant number, since it is smaller than the sum of its proper divisors (185166480).

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

104057952 is a wasteful number, since it uses less digits than its factorization.

104057952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63791 (or 63783 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 104057952 is about 10200.8799620425. The cubic root of 104057952 is about 470.3542703938.

The spelling of 104057952 in words is "one hundred four million, fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 63761 127522 191283 255044 382566 510088 765132 1020176 1083937 1530264 2040352 2167874 3060528 3251811 4335748 6121056 6503622 8671496 13007244 17342992 26014488 34685984 52028976 104057952