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125331808 = 2572671193
BaseRepresentation
bin1110111100001…
…10100101100000
322201211111220211
413132012211200
5224041104213
620234143504
73051205600
oct736064540
9281744824
10125331808
1164823708
1235b81b94
131cc72a44
1412906c00
15b00a53d
hex7786960

125331808 has 72 divisors (see below), whose sum is σ = 291560472. Its totient is φ = 52867584.

The previous prime is 125331763. The next prime is 125331851. The reversal of 125331808 is 808133521.

It is a self number, because there is not a number n which added to its sum of digits gives 125331808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104460 + ... + 105652.

It is an arithmetic number, because the mean of its divisors is an integer number (4049451).

Almost surely, 2125331808 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 125331808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145780236).

125331808 is an abundant number, since it is smaller than the sum of its proper divisors (166228664).

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

125331808 is a wasteful number, since it uses less digits than its factorization.

125331808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1284 (or 1269 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 125331808 is about 11195.1689580819. The cubic root of 125331808 is about 500.4420197885.

It can be divided in two parts, 12533 and 1808, that added together give a palindrome (14341).

The spelling of 125331808 in words is "one hundred twenty-five million, three hundred thirty-one thousand, eight hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 196 224 268 392 469 536 784 938 1072 1193 1568 1876 2144 2386 3283 3752 4772 6566 7504 8351 9544 13132 15008 16702 19088 26264 33404 38176 52528 58457 66808 79931 105056 116914 133616 159862 233828 267232 319724 467656 559517 639448 935312 1119034 1278896 1870624 2238068 2557792 3916619 4476136 7833238 8952272 15666476 17904544 31332952 62665904 125331808