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77405042 = 211132109191
BaseRepresentation
bin1001001110100…
…01101101110010
312101122120202102
410213101231302
5124303430132
611403020402
71626634451
oct447215562
9171576672
1077405042
113a769610
1221b0a702
1313062200
14a3ccb98
156bdec62
hex49d1b72

77405042 has 48 divisors (see below), whose sum is σ = 139138560. Its totient is φ = 32011200.

The previous prime is 77405023. The next prime is 77405057. The reversal of 77405042 is 24050477.

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 77404996 and 77405014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405167 + ... + 405357.

It is an arithmetic number, because the mean of its divisors is an integer number (2898720).

Almost surely, 277405042 is an apocalyptic number.

77405042 is a deficient number, since it is larger than the sum of its proper divisors (61733518).

77405042 is a wasteful number, since it uses less digits than its factorization.

77405042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The square root of 77405042 is about 8798.0135257909. The cubic root of 77405042 is about 426.1767471004.

The spelling of 77405042 in words is "seventy-seven million, four hundred five thousand, forty-two".

Divisors: 1 2 11 13 22 26 109 143 169 191 218 286 338 382 1199 1417 1859 2101 2398 2483 2834 3718 4202 4966 15587 18421 20819 27313 31174 32279 36842 41638 54626 64558 202631 229009 270647 355069 405262 458018 541294 710138 2977117 3518411 5954234 7036822 38702521 77405042