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78081256 = 23117112497
BaseRepresentation
bin1001010011101…
…10110011101000
312102220221100101
410221312303220
5124442100011
611425315144
71635452101
oct451666350
9172827311
1078081256
1140090670
1222195ab4
131323ac36
14a5273a8
156cc52c1
hex4a76ce8

78081256 has 32 divisors (see below), whose sum is σ = 161974080. Its totient is φ = 34988800.

The previous prime is 78081239. The next prime is 78081257. The reversal of 78081256 is 65218087.

78081256 is a nontrivial binomial coefficient, being equal to C(12497, 2).

It is not an unprimeable number, because it can be changed into a prime (78081257) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 12496.

It is an arithmetic number, because the mean of its divisors is an integer number (5061690).

Almost surely, 278081256 is an apocalyptic number.

78081256 is the 12496-th triangular number.

78081256 is the 4166-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78081256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80987040).

78081256 is an abundant number, since it is smaller than the sum of its proper divisors (83892824).

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

78081256 is a wasteful number, since it uses less digits than its factorization.

78081256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12585 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 78081256 is about 8836.3598840246. The cubic root of 78081256 is about 427.4141838392.

The spelling of 78081256 in words is "seventy-eight million, eighty-one thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 12497 24994 49988 99976 137467 274934 549868 887287 1099736 1774574 3549148 7098296 9760157 19520314 39040628 78081256