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80968464 = 24332329281
BaseRepresentation
bin1001101001101…
…11101100010000
312122100121212000
410310313230100
5131211442324
612011234000
72002135443
oct464675420
9178317760
1080968464
1141782895
1223148900
1313a0c145
14aa7965a
1571959c9
hex4d37b10

80968464 has 160 divisors (see below), whose sum is σ = 251769600. Its totient is φ = 24837120.

The previous prime is 80968453. The next prime is 80968477. The reversal of 80968464 is 46486908.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 288004 + ... + 288284.

It is an arithmetic number, because the mean of its divisors is an integer number (1573560).

Almost surely, 280968464 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 80968464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125884800).

80968464 is an abundant number, since it is smaller than the sum of its proper divisors (170801136).

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

80968464 is a wasteful number, since it uses less digits than its factorization.

80968464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 80968464 is about 8998.2478294388. The cubic root of 80968464 is about 432.6187122201.

The spelling of 80968464 in words is "eighty million, nine hundred sixty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 29 36 46 48 54 58 69 72 87 92 108 116 138 144 174 184 207 216 232 261 276 281 348 368 414 432 464 522 552 562 621 667 696 783 828 843 1044 1104 1124 1242 1334 1392 1566 1656 1686 2001 2088 2248 2484 2529 2668 3132 3312 3372 4002 4176 4496 4968 5058 5336 6003 6264 6463 6744 7587 8004 8149 9936 10116 10672 12006 12528 12926 13488 15174 16008 16298 18009 19389 20232 24012 24447 25852 30348 32016 32596 36018 38778 40464 48024 48894 51704 58167 60696 65192 72036 73341 77556 96048 97788 103408 116334 121392 130384 144072 146682 155112 174501 187427 195576 220023 232668 288144 293364 310224 349002 374854 391152 440046 465336 562281 586728 698004 749708 880092 930672 1124562 1173456 1396008 1499416 1686843 1760184 2249124 2792016 2998832 3373686 3520368 4498248 5060529 6747372 8996496 10121058 13494744 20242116 26989488 40484232 80968464