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86134944 = 2537218311
BaseRepresentation
bin1010010001001…
…01000010100000
320000002002221010
411020211002200
5134022304234
612314100520
72064064200
oct510450240
9200062833
1086134944
1144691505
1224a1a740
1314aca92c
14b622400
1578666e9
hex52250a0

86134944 has 72 divisors (see below), whose sum is σ = 263033568. Its totient is φ = 24608640.

The previous prime is 86134943. The next prime is 86134949. The reversal of 86134944 is 44943168.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (86134943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4452 + ... + 13859.

It is an arithmetic number, because the mean of its divisors is an integer number (3653244).

Almost surely, 286134944 is an apocalyptic number.

86134944 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

86134944 is an abundant number, since it is smaller than the sum of its proper divisors (176898624).

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

86134944 is a wasteful number, since it uses less digits than its factorization.

86134944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18338 (or 18323 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 86134944 is about 9280.8913365043. The cubic root of 86134944 is about 441.6312451637.

It can be divided in two parts, 86134 and 944, that added together give a palindrome (87078).

The spelling of 86134944 in words is "eighty-six million, one hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 18311 36622 54933 73244 109866 128177 146488 219732 256354 292976 384531 439464 512708 585952 769062 878928 897239 1025416 1538124 1757856 1794478 2050832 2691717 3076248 3588956 4101664 5383434 6152496 7177912 10766868 12304992 14355824 21533736 28711648 43067472 86134944