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25613728 = 257293943
BaseRepresentation
bin110000110110…
…1010110100000
31210012022102121
41201231112200
523024114403
62312554024
7430466410
oct141552640
953168377
1025613728
1113504a78
1286b2914
1353ca66a
14358a640
1523ae3bd
hex186d5a0

25613728 has 48 divisors (see below), whose sum is σ = 59633280. Its totient is φ = 10596096.

The previous prime is 25613711. The next prime is 25613759. The reversal of 25613728 is 82731652.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 25613693 and 25613702.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4525 + ... + 8467.

It is an arithmetic number, because the mean of its divisors is an integer number (1242360).

Almost surely, 225613728 is an apocalyptic number.

25613728 is a gapful number since it is divisible by the number (28) 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 25613728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29816640).

25613728 is an abundant number, since it is smaller than the sum of its proper divisors (34019552).

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

25613728 is a wasteful number, since it uses less digits than its factorization.

25613728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3989 (or 3981 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 25613728 is about 5061.0006915629. Note that the first 3 decimals coincide. The cubic root of 25613728 is about 294.7751921276.

The spelling of 25613728 in words is "twenty-five million, six hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3248 3943 6496 7886 15772 27601 31544 55202 63088 110404 114347 126176 220808 228694 441616 457388 800429 883232 914776 1600858 1829552 3201716 3659104 6403432 12806864 25613728