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25438104 = 23332931131
BaseRepresentation
bin110000100001…
…0011110011000
31202212101112000
41201002132120
523003004404
62305121000
7426135366
oct141023630
952771460
1025438104
11133a502a
128629160
135368743
143542636
152377339
hex1842798

25438104 has 128 divisors (see below), whose sum is σ = 76032000. Its totient is φ = 7862400.

The previous prime is 25438057. The next prime is 25438111. The reversal of 25438104 is 40183452.

It is a super-2 number, since 2×254381042 = 1294194270229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194119 + ... + 194249.

It is an arithmetic number, because the mean of its divisors is an integer number (594000).

Almost surely, 225438104 is an apocalyptic number.

25438104 is a gapful number since it is divisible by the number (24) 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 25438104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38016000).

25438104 is an abundant number, since it is smaller than the sum of its proper divisors (50593896).

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

25438104 is a wasteful number, since it uses less digits than its factorization.

25438104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 25438104 is about 5043.6201284395. The cubic root of 25438104 is about 294.0999243847.

The spelling of 25438104 in words is "twenty-five million, four hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 31 36 54 58 62 72 87 93 108 116 124 131 174 186 216 232 248 261 262 279 348 372 393 522 524 558 696 744 783 786 837 899 1044 1048 1116 1179 1566 1572 1674 1798 2088 2232 2358 2697 3132 3144 3348 3537 3596 3799 4061 4716 5394 6264 6696 7074 7192 7598 8091 8122 9432 10788 11397 12183 14148 15196 16182 16244 21576 22794 24273 24366 28296 30392 32364 32488 34191 36549 45588 48546 48732 64728 68382 73098 91176 97092 97464 102573 109647 117769 136764 146196 194184 205146 219294 235538 273528 292392 353307 410292 438588 471076 706614 820584 877176 942152 1059921 1413228 2119842 2826456 3179763 4239684 6359526 8479368 12719052 25438104