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101925376 = 29728439
BaseRepresentation
bin1100001001101…
…00001000000000
321002210100022221
412010310020000
5202043103001
614040340424
72345231350
oct604641000
9232710287
10101925376
1152597053
122a174714
1318168c97
14d772b60
158e351a1
hex6134200

101925376 has 40 divisors (see below), whose sum is σ = 232752960. Its totient is φ = 43680768.

The previous prime is 101925359. The next prime is 101925377. The reversal of 101925376 is 673529101.

It is not an unprimeable number, because it can be changed into a prime (101925377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10636 + ... + 17803.

It is an arithmetic number, because the mean of its divisors is an integer number (5818824).

Almost surely, 2101925376 is an apocalyptic number.

101925376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101925376 is an abundant number, since it is smaller than the sum of its proper divisors (130827584).

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

101925376 is an frugal number, since it uses more digits than its factorization.

101925376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28464 (or 28448 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 101925376 is about 10095.8098238824. The cubic root of 101925376 is about 467.1189012921.

The spelling of 101925376 in words is "one hundred one million, nine hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 28439 56878 113756 199073 227512 398146 455024 796292 910048 1592584 1820096 3185168 3640192 6370336 7280384 12740672 14560768 25481344 50962688 101925376