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25985024 = 2151361
BaseRepresentation
bin110001100100…
…0000000000000
31210220011202022
41203020000000
523123010044
62324541012
7433604042
oct143100000
953804668
1025985024
1113738a2a
128851768
1354ca670
143645a92
1524343ee
hex18c8000

25985024 has 64 divisors (see below), whose sum is σ = 56884380. Its totient is φ = 11796480.

The previous prime is 25985023. The next prime is 25985041. The reversal of 25985024 is 42058952.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20070400 + 5914624 = 4480^2 + 2432^2 .

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

It is not an unprimeable number, because it can be changed into a prime (25985023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 425954 + ... + 426014.

Almost surely, 225985024 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 25985024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28442190).

25985024 is an abundant number, since it is smaller than the sum of its proper divisors (30899356).

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

25985024 is an frugal number, since it uses more digits than its factorization.

25985024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 25985024 is about 5097.5507844454. The cubic root of 25985024 is about 296.1927159918.

The spelling of 25985024 in words is "twenty-five million, nine hundred eighty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 512 793 832 976 1024 1586 1664 1952 2048 3172 3328 3904 4096 6344 6656 7808 8192 12688 13312 15616 16384 25376 26624 31232 32768 50752 53248 62464 101504 106496 124928 203008 212992 249856 406016 425984 499712 812032 999424 1624064 1998848 3248128 6496256 12992512 25985024