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96182016 = 283717891
BaseRepresentation
bin1011011101110…
…01111100000000
320200222112220220
411232321330000
5144110311031
613313303040
72245351020
oct556717400
9220875826
1096182016
114a323a77
1228264a80
1316c07a48
14cab9a80
15869d596
hex5bb9f00

96182016 has 72 divisors (see below), whose sum is σ = 292569984. Its totient is φ = 27479040.

The previous prime is 96182003. The next prime is 96182059. The reversal of 96182016 is 61028169.

It is a super-3 number, since 3×961820163 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3570 + ... + 14321.

It is an arithmetic number, because the mean of its divisors is an integer number (4063472).

Almost surely, 296182016 is an apocalyptic number.

96182016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96182016 is an abundant number, since it is smaller than the sum of its proper divisors (196387968).

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

96182016 is a wasteful number, since it uses less digits than its factorization.

96182016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17917 (or 17903 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 96182016 is about 9807.2430376737. The cubic root of 96182016 is about 458.1748980837.

The spelling of 96182016 in words is "ninety-six million, one hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 17891 35782 53673 71564 107346 125237 143128 214692 250474 286256 375711 429384 500948 572512 751422 858768 1001896 1145024 1502844 1717536 2003792 2290048 3005688 3435072 4007584 4580096 6011376 6870144 8015168 12022752 13740288 16030336 24045504 32060672 48091008 96182016