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25901988 = 223742931
BaseRepresentation
bin110001011001…
…1101110100100
31210201221211220
41202303232210
523112330423
62323100340
7433110000
oct142635644
953657756
1025901988
1113691602
1288116b0
13549b928
143623700
1524199e3
hex18b3ba4

25901988 has 120 divisors (see below), whose sum is σ = 75290880. Its totient is φ = 6914880.

The previous prime is 25901987. The next prime is 25902013. The reversal of 25901988 is 88910952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (25901983) 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 39 ways as a sum of consecutive naturals, for example, 835533 + ... + 835563.

It is an arithmetic number, because the mean of its divisors is an integer number (627424).

Almost surely, 225901988 is an apocalyptic number.

25901988 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 25901988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645440).

25901988 is an abundant number, since it is smaller than the sum of its proper divisors (49388892).

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

25901988 is a wasteful number, since it uses less digits than its factorization.

25901988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 25901988 is about 5089.3995716587. The cubic root of 25901988 is about 295.8768814730.

The spelling of 25901988 in words is "twenty-five million, nine hundred one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 31 42 49 58 62 84 87 93 98 116 124 147 174 186 196 203 217 294 343 348 372 406 434 588 609 651 686 812 868 899 1029 1218 1302 1372 1421 1519 1798 2058 2401 2436 2604 2697 2842 3038 3596 4116 4263 4557 4802 5394 5684 6076 6293 7203 8526 9114 9604 9947 10633 10788 12586 14406 17052 18228 18879 19894 21266 25172 28812 29841 31899 37758 39788 42532 44051 59682 63798 69629 74431 75516 88102 119364 127596 132153 139258 148862 176204 208887 223293 264306 278516 297724 308357 417774 446586 528612 616714 835548 893172 925071 1233428 1850142 2158499 3700284 4316998 6475497 8633996 12950994 25901988