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80383968 = 2533713291
BaseRepresentation
bin1001100101010…
…00111111100000
312121020221002000
410302220333200
5131034241333
611550524000
71664152410
oct462507740
9177227060
1080383968
1141413735
1222b06600
13138660a2
14a966640
1570cc713
hex4ca8fe0

80383968 has 96 divisors (see below), whose sum is σ = 267966720. Its totient is φ = 22965120.

The previous prime is 80383967. The next prime is 80383991. The reversal of 80383968 is 86938308.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×803839682 = 12923164622850048, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80383967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 598 + ... + 12693.

It is an arithmetic number, because the mean of its divisors is an integer number (2791320).

Almost surely, 280383968 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 80383968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133983360).

80383968 is an abundant number, since it is smaller than the sum of its proper divisors (187582752).

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

80383968 is a wasteful number, since it uses less digits than its factorization.

80383968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13317 (or 13303 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 80383968 is about 8965.7106801413. The cubic root of 80383968 is about 431.5751997003.

The spelling of 80383968 in words is "eighty million, three hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 13291 26582 39873 53164 79746 93037 106328 119619 159492 186074 212656 239238 279111 318984 358857 372148 425312 478476 558222 637968 717714 744296 837333 956952 1116444 1275936 1435428 1488592 1674666 1913904 2232888 2511999 2870856 2977184 3349332 3827808 4465776 5023998 5741712 6698664 8931552 10047996 11483424 13397328 20095992 26794656 40191984 80383968