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131464488 = 23397149379
BaseRepresentation
bin1111101010111…
…11110100101000
3100011101002101010
413311133310220
5232123330423
621013423520
73154300251
oct765376450
9304332333
10131464488
1168232241
123803aba0
132130c24c
1413661b28
15b81c693
hex7d5fd28

131464488 has 64 divisors (see below), whose sum is σ = 335160000. Its totient is φ = 42964992.

The previous prime is 131464471. The next prime is 131464517. The reversal of 131464488 is 884464131.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346683 + ... + 347061.

It is an arithmetic number, because the mean of its divisors is an integer number (5236875).

Almost surely, 2131464488 is an apocalyptic number.

It is an amenable number.

131464488 is an abundant number, since it is smaller than the sum of its proper divisors (203695512).

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

131464488 is a wasteful number, since it uses less digits than its factorization.

131464488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 630 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 131464488 is about 11465.7964398466. The cubic root of 131464488 is about 508.4748592651.

The spelling of 131464488 in words is "one hundred thirty-one million, four hundred sixty-four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 97 149 194 291 298 379 388 447 582 596 758 776 894 1137 1164 1192 1516 1788 2274 2328 3032 3576 4548 9096 14453 28906 36763 43359 56471 57812 73526 86718 110289 112942 115624 147052 169413 173436 220578 225884 294104 338826 346872 441156 451768 677652 882312 1355304 5477687 10955374 16433061 21910748 32866122 43821496 65732244 131464488