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25138368 = 2632192297
BaseRepresentation
bin101111111100…
…1010011000000
31202022011100200
41133321103000
522413411433
62254445200
7423446463
oct137712300
952264320
1025138368
111320a912
128503800
135292198
1434a52da
152318613
hex17f94c0

25138368 has 84 divisors (see below), whose sum is σ = 75879960. Its totient is φ = 7934976.

The previous prime is 25138363. The next prime is 25138391. The reversal of 25138368 is 86383152.

25138368 is a `hidden beast` number, since 2 + 513 + 83 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25138363) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 9796 + ... + 12092.

Almost surely, 225138368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25138368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37939980).

25138368 is an abundant number, since it is smaller than the sum of its proper divisors (50741592).

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

25138368 is a wasteful number, since it uses less digits than its factorization.

25138368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2321 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 25138368 is about 5013.8177070971. The cubic root of 25138368 is about 292.9402356099.

The spelling of 25138368 in words is "twenty-five million, one hundred thirty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2297 2736 3648 4594 5472 6891 9188 10944 13782 18376 20673 27564 36752 41346 43643 55128 73504 82692 87286 110256 130929 147008 165384 174572 220512 261858 330768 349144 392787 441024 523716 661536 698288 785574 1047432 1323072 1396576 1571148 2094864 2793152 3142296 4189728 6284592 8379456 12569184 25138368