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25290752 = 21153233
BaseRepresentation
bin110000001111…
…0100000000000
31202120220101112
41200132200000
522433301002
62302022452
7424652654
oct140364000
952526345
1025290752
1113304353
128577a28
135316656
143504a64
152348852
hex181e800

25290752 has 48 divisors (see below), whose sum is σ = 51744420. Its totient is φ = 12353536.

The previous prime is 25290743. The next prime is 25290757. The reversal of 25290752 is 25709252.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 25240576 + 50176 = 5024^2 + 224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (25290757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 108428 + ... + 108660.

Almost surely, 225290752 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 25290752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25872210).

25290752 is an abundant number, since it is smaller than the sum of its proper divisors (26453668).

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

25290752 is an equidigital number, since it uses as much as digits as its factorization.

25290752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 25290752 is about 5028.9911513145. The cubic root of 25290752 is about 293.5309595698.

The spelling of 25290752 in words is "twenty-five million, two hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 233 256 424 466 512 848 932 1024 1696 1864 2048 3392 3728 6784 7456 12349 13568 14912 24698 27136 29824 49396 54272 59648 98792 108544 119296 197584 238592 395168 477184 790336 1580672 3161344 6322688 12645376 25290752