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25992096 = 2531359353
BaseRepresentation
bin110001100100…
…1101110100000
31210220112110020
41203021232200
523123221341
62325033440
7433633464
oct143115640
953815406
1025992096
1113743279
128855880
135500950
1436484a4
152436566
hex18c9ba0

25992096 has 96 divisors (see below), whose sum is σ = 74934720. Its totient is φ = 7839744.

The previous prime is 25992089. The next prime is 25992097. The reversal of 25992096 is 69029952.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25992097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73456 + ... + 73808.

It is an arithmetic number, because the mean of its divisors is an integer number (780570).

Almost surely, 225992096 is an apocalyptic number.

25992096 is a gapful number since it is divisible by the number (26) 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 25992096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37467360).

25992096 is an abundant number, since it is smaller than the sum of its proper divisors (48942624).

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

25992096 is a wasteful number, since it uses less digits than its factorization.

25992096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 25992096 is about 5098.2444037139. The cubic root of 25992096 is about 296.2195838380.

The spelling of 25992096 in words is "twenty-five million, nine hundred ninety-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 59 78 96 104 118 156 177 208 236 312 353 354 416 472 624 706 708 767 944 1059 1248 1412 1416 1534 1888 2118 2301 2824 2832 3068 4236 4589 4602 5648 5664 6136 8472 9178 9204 11296 12272 13767 16944 18356 18408 20827 24544 27534 33888 36712 36816 41654 55068 62481 73424 73632 83308 110136 124962 146848 166616 220272 249924 270751 333232 440544 499848 541502 666464 812253 999696 1083004 1624506 1999392 2166008 3249012 4332016 6498024 8664032 12996048 25992096