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78826464 = 25321911433
BaseRepresentation
bin1001011001011…
…00101111100000
312111022210120200
410230230233200
5130134421324
611453305200
71645004523
oct454545740
9174283520
1078826464
114054a542
1222495200
131343c1a2
14a67cbba
156dc0ec9
hex4b2cbe0

78826464 has 72 divisors (see below), whose sum is σ = 225493632. Its totient is φ = 26119680.

The previous prime is 78826453. The next prime is 78826481. The reversal of 78826464 is 46462887.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×788264642 = 12427222853486592, which contains 22 as substring.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 54292 + ... + 55724.

It is an arithmetic number, because the mean of its divisors is an integer number (3131856).

Almost surely, 278826464 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 78826464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112746816).

78826464 is an abundant number, since it is smaller than the sum of its proper divisors (146667168).

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

78826464 is a wasteful number, since it uses less digits than its factorization.

78826464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1629 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 78826464 is about 8878.4268876868. The cubic root of 78826464 is about 428.7696287058.

The spelling of 78826464 in words is "seventy-eight million, eight hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 191 288 382 573 764 1146 1433 1528 1719 2292 2866 3056 3438 4299 4584 5732 6112 6876 8598 9168 11464 12897 13752 17196 18336 22928 25794 27504 34392 45856 51588 55008 68784 103176 137568 206352 273703 412704 547406 821109 1094812 1642218 2189624 2463327 3284436 4379248 4926654 6568872 8758496 9853308 13137744 19706616 26275488 39413232 78826464