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80413956 = 223274143181
BaseRepresentation
bin1001100101100…
…00010100000100
312121022110012200
410302300110010
5131041221311
611551314500
71664336010
oct462602404
9177273180
1080413956
1141434217
1222b1ba30
131387692c
14a973540
1570d6556
hex4cb0504

80413956 has 144 divisors (see below), whose sum is σ = 244852608. Its totient is φ = 21772800.

The previous prime is 80413943. The next prime is 80413981. The reversal of 80413956 is 65931408.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 80413956.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444186 + ... + 444366.

Almost surely, 280413956 is an apocalyptic number.

80413956 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80413956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122426304).

80413956 is an abundant number, since it is smaller than the sum of its proper divisors (164438652).

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

80413956 is a wasteful number, since it uses less digits than its factorization.

80413956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 80413956 is about 8967.3828958063. The cubic root of 80413956 is about 431.6288607654.

The spelling of 80413956 in words is "eighty million, four hundred thirteen thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 43 63 82 84 86 123 126 129 164 172 181 246 252 258 287 301 362 369 387 492 516 543 574 602 724 738 774 861 903 1086 1148 1204 1267 1476 1548 1629 1722 1763 1806 2172 2534 2583 2709 3258 3444 3526 3612 3801 5068 5166 5289 5418 6516 7052 7421 7602 7783 10332 10578 10836 11403 12341 14842 15204 15566 15867 21156 22263 22806 23349 24682 29684 31132 31734 37023 44526 45612 46698 49364 51947 54481 63468 66789 70047 74046 89052 93396 103894 108962 111069 133578 140094 148092 155841 163443 207788 217924 222138 267156 280188 311682 319103 326886 444276 467523 490329 623364 638206 653772 935046 957309 980658 1276412 1870092 1914618 1961316 2233721 2871927 3829236 4467442 5743854 6701163 8934884 11487708 13402326 20103489 26804652 40206978 80413956