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25896864 = 253789433
BaseRepresentation
bin110001011001…
…0011110100000
31210201200211010
41202302132200
523112144424
62323020520
7433056030
oct142623640
953650733
1025896864
1113688774
12880a740
1354994b6
1436218c0
152418229
hex18b27a0

25896864 has 96 divisors (see below), whose sum is σ = 78744960. Its totient is φ = 7299072.

The previous prime is 25896863. The next prime is 25896869. The reversal of 25896864 is 46869852.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25896863) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59592 + ... + 60024.

It is an arithmetic number, because the mean of its divisors is an integer number (820260).

Almost surely, 225896864 is an apocalyptic number.

25896864 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 25896864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39372480).

25896864 is an abundant number, since it is smaller than the sum of its proper divisors (52848096).

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

25896864 is a wasteful number, since it uses less digits than its factorization.

25896864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 534 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 25896864 is about 5088.8961474960. The cubic root of 25896864 is about 295.8573698030.

It can be divided in two parts, 2589 and 6864, that added together give a triangular number (9453 = T137).

The spelling of 25896864 in words is "twenty-five million, eight hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 89 96 112 168 178 224 267 336 356 433 534 623 672 712 866 1068 1246 1299 1424 1732 1869 2136 2492 2598 2848 3031 3464 3738 4272 4984 5196 6062 6928 7476 8544 9093 9968 10392 12124 13856 14952 18186 19936 20784 24248 29904 36372 38537 41568 48496 59808 72744 77074 96992 115611 145488 154148 231222 269759 290976 308296 462444 539518 616592 809277 924888 1079036 1233184 1618554 1849776 2158072 3237108 3699552 4316144 6474216 8632288 12948432 25896864