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80616368 = 2472312107
BaseRepresentation
bin1001100111000…
…01101110110000
312121200201212102
410303201232300
5131114210433
611555515532
71666141100
oct463415660
9177621772
1080616368
11415622a8
1222bb8ba8
1313917ac1
14a9c7200
1571264e8
hex4ce1bb0

80616368 has 90 divisors (see below), whose sum is σ = 189500148. Its totient is φ = 33122880.

The previous prime is 80616359. The next prime is 80616379. The reversal of 80616368 is 86361608.

It is a super-2 number, since 2×806163682 = 12997997579022848, which contains 22 as substring.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

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 17 ways as a sum of consecutive naturals, for example, 753371 + ... + 753477.

Almost surely, 280616368 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 80616368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94750074).

80616368 is an abundant number, since it is smaller than the sum of its proper divisors (108883780).

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

80616368 is a wasteful number, since it uses less digits than its factorization.

80616368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 80616368 is about 8978.6618156605. The cubic root of 80616368 is about 431.9907119631.

The spelling of 80616368 in words is "eighty million, six hundred sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 107 112 124 196 214 217 248 392 428 434 496 749 784 856 868 961 1498 1519 1712 1736 1922 2996 3038 3317 3472 3844 5243 5992 6076 6634 6727 7688 10486 11984 12152 13268 13454 15376 20972 23219 24304 26536 26908 41944 46438 47089 53072 53816 83888 92876 94178 102827 107632 162533 185752 188356 205654 325066 371504 376712 411308 650132 719789 753424 822616 1300264 1439578 1645232 2600528 2879156 5038523 5758312 10077046 11516624 20154092 40308184 80616368