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80926992 = 2433376183
BaseRepresentation
bin1001101001011…
…01100100010000
312122021111222000
410310231210100
5131204130432
612010314000
72001603516
oct464554420
9178244860
1080926992
1141754713
1223128900
13139c62c3
14aa684b6
15718857c
hex4d2d910

80926992 has 160 divisors (see below), whose sum is σ = 245400960. Its totient is φ = 25505280.

The previous prime is 80926991. The next prime is 80926999. The reversal of 80926992 is 29962908.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (80926991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974983 + ... + 975065.

It is an arithmetic number, because the mean of its divisors is an integer number (1533756).

Almost surely, 280926992 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 80926992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122700480).

80926992 is an abundant number, since it is smaller than the sum of its proper divisors (164473968).

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

80926992 is a wasteful number, since it uses less digits than its factorization.

80926992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 80926992 is about 8995.9430856359. The cubic root of 80926992 is about 432.5448372552.

It can be divided in two parts, 80926 and 992, that added together give a palindrome (81918).

The spelling of 80926992 in words is "eighty million, nine hundred twenty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 61 72 74 83 108 111 122 144 148 166 183 216 222 244 249 296 332 333 366 432 444 488 498 549 592 664 666 732 747 888 976 996 999 1098 1328 1332 1464 1494 1647 1776 1992 1998 2196 2241 2257 2664 2928 2988 3071 3294 3984 3996 4392 4482 4514 5063 5328 5976 6142 6588 6771 7992 8784 8964 9028 9213 10126 11952 12284 13176 13542 15189 15984 17928 18056 18426 20252 20313 24568 26352 27084 27639 30378 35856 36112 36852 40504 40626 45567 49136 54168 55278 60756 60939 73704 81008 81252 82917 91134 108336 110556 121512 121878 136701 147408 162504 165834 182268 187331 221112 243024 243756 273402 325008 331668 364536 374662 442224 487512 546804 561993 663336 729072 749324 975024 1093608 1123986 1326672 1498648 1685979 2187216 2247972 2997296 3371958 4495944 5057937 6743916 8991888 10115874 13487832 20231748 26975664 40463496 80926992