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25232640 = 28356571
BaseRepresentation
bin110000001000…
…0010100000000
31202110221200020
41200100110000
522424421030
62300453440
7424321356
oct140202400
952427606
1025232640
1113274724
12854a280
1352c6074
1434cb7d6
152336510
hex1810500

25232640 has 72 divisors (see below), whose sum is σ = 80599008. Its totient is φ = 6727680.

The previous prime is 25232629. The next prime is 25232659. The reversal of 25232640 is 4623252.

It is a super-2 number, since 2×252326402 = 1273372242739200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 25232640.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 555 + ... + 7125.

Almost surely, 225232640 is an apocalyptic number.

25232640 is a gapful number since it is divisible by the number (20) 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 25232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40299504).

25232640 is an abundant number, since it is smaller than the sum of its proper divisors (55366368).

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

25232640 is an equidigital number, since it uses as much as digits as its factorization.

25232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6595 (or 6581 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 25232640 is about 5023.2101289912. The cubic root of 25232640 is about 293.3059662255.

Adding to 25232640 its reverse (4623252), we get a palindrome (29855892).

The spelling of 25232640 in words is "twenty-five million, two hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 6571 13142 19713 26284 32855 39426 52568 65710 78852 98565 105136 131420 157704 197130 210272 262840 315408 394260 420544 525680 630816 788520 841088 1051360 1261632 1577040 1682176 2102720 2523264 3154080 4205440 5046528 6308160 8410880 12616320 25232640