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25431264 = 2532227389
BaseRepresentation
bin110000100000…
…0110011100000
31202212001010200
41201000303200
523002300024
62305025200
7426106425
oct141006340
952761120
1025431264
111339a981
128625200
1353655b1
14353dd4c
1523752c9
hex1840ce0

25431264 has 72 divisors (see below), whose sum is σ = 72825480. Its totient is φ = 8418048.

The previous prime is 25431227. The next prime is 25431271. The reversal of 25431264 is 46213452.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65182 + ... + 65570.

It is an arithmetic number, because the mean of its divisors is an integer number (1011465).

Almost surely, 225431264 is an apocalyptic number.

25431264 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 25431264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36412740).

25431264 is an abundant number, since it is smaller than the sum of its proper divisors (47394216).

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

25431264 is a wasteful number, since it uses less digits than its factorization.

25431264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 621 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 25431264 is about 5042.9419984767. The cubic root of 25431264 is about 294.0735620450.

The spelling of 25431264 in words is "twenty-five million, four hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 227 288 389 454 681 778 908 1167 1362 1556 1816 2043 2334 2724 3112 3501 3632 4086 4668 5448 6224 7002 7264 8172 9336 10896 12448 14004 16344 18672 21792 28008 32688 37344 56016 65376 88303 112032 176606 264909 353212 529818 706424 794727 1059636 1412848 1589454 2119272 2825696 3178908 4238544 6357816 8477088 12715632 25431264