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3928904 = 237174127
BaseRepresentation
bin1110111111001101001000
321101121102222
432333031020
52001211104
6220113212
745252350
oct16771510
97347388
103928904
112243931
121395808
13a773c5
14743b60
155291be
hex3bf348

3928904 has 32 divisors (see below), whose sum is σ = 8916480. Its totient is φ = 1584384.

The previous prime is 3928849. The next prime is 3928913. The reversal of 3928904 is 4098293.

3928904 = T1056 + T1057 + ... + T1062.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1112 + ... + 3015.

It is an arithmetic number, because the mean of its divisors is an integer number (278640).

Almost surely, 23928904 is an apocalyptic number.

3928904 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

3928904 is an abundant number, since it is smaller than the sum of its proper divisors (4987576).

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

3928904 is a wasteful number, since it uses less digits than its factorization.

3928904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 3928904 is about 1982.1463114513. The cubic root of 3928904 is about 157.7939952619.

The spelling of 3928904 in words is "three million, nine hundred twenty-eight thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 476 952 4127 8254 16508 28889 33016 57778 70159 115556 140318 231112 280636 491113 561272 982226 1964452 3928904