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77650768 = 24133472
BaseRepresentation
bin1001010000011…
…01101101010000
312102010001211101
410220031231100
5124334311033
611412154144
71632010036
oct450155520
9172101741
1077650768
113a917198
1222008954
131311a000
14a454556
156c3c97d
hex4a0db50

77650768 has 60 divisors (see below), whose sum is σ = 166521460. Its totient is φ = 35076288.

The previous prime is 77650723. The next prime is 77650799. The reversal of 77650768 is 86705677.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2862864 + 74787904 = 1692^2 + 8648^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1652121 + ... + 1652167.

Almost surely, 277650768 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 77650768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83260730).

77650768 is an abundant number, since it is smaller than the sum of its proper divisors (88870692).

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

77650768 is an equidigital number, since it uses as much as digits as its factorization.

77650768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 46.

The square root of 77650768 is about 8811.9673172340. The cubic root of 77650768 is about 426.6272435363.

The spelling of 77650768 in words is "seventy-seven million, six hundred fifty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 169 188 208 338 376 611 676 752 1222 1352 2197 2209 2444 2704 4394 4418 4888 7943 8788 8836 9776 15886 17576 17672 28717 31772 35152 35344 57434 63544 103259 114868 127088 206518 229736 373321 413036 459472 746642 826072 1493284 1652144 2986568 4853173 5973136 9706346 19412692 38825384 77650768