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25670272 = 271747251
BaseRepresentation
bin110000111101…
…1001010000000
31210022011222211
41201323022000
523032422042
62314111504
7431123305
oct141731200
953264884
1025670272
1113543501
12871b594
13541a314
1435a30ac
1523c1017
hex187b280

25670272 has 64 divisors (see below), whose sum is σ = 55520640. Its totient is φ = 11776000.

The previous prime is 25670243. The next prime is 25670287. The reversal of 25670272 is 27207652.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102147 + ... + 102397.

It is an arithmetic number, because the mean of its divisors is an integer number (867510).

Almost surely, 225670272 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 25670272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27760320).

25670272 is an abundant number, since it is smaller than the sum of its proper divisors (29850368).

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

25670272 is a wasteful number, since it uses less digits than its factorization.

25670272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 25670272 is about 5066.5838589724. The cubic root of 25670272 is about 294.9919446235.

The spelling of 25670272 in words is "twenty-five million, six hundred seventy thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 17 32 34 47 64 68 94 128 136 188 251 272 376 502 544 752 799 1004 1088 1504 1598 2008 2176 3008 3196 4016 4267 6016 6392 8032 8534 11797 12784 16064 17068 23594 25568 32128 34136 47188 51136 68272 94376 102272 136544 188752 200549 273088 377504 401098 546176 755008 802196 1510016 1604392 3208784 6417568 12835136 25670272