Search a number
-
+
78494256 = 24321972767
BaseRepresentation
bin1001010110110…
…11101000110000
312110200220212200
410223123220300
5130043304011
611442223200
71642122141
oct453335060
9173626780
1078494256
1140342995
1222354b00
1313353c09
14a5d3ac8
156d57856
hex4adba30

78494256 has 60 divisors (see below), whose sum is σ = 220869792. Its totient is φ = 26022528.

The previous prime is 78494233. The next prime is 78494261. The reversal of 78494256 is 65249487.

It is a happy number.

It is a super-3 number, since 3×784942563 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 26985 + ... + 29751.

Almost surely, 278494256 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 78494256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110434896).

78494256 is an abundant number, since it is smaller than the sum of its proper divisors (142375536).

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

78494256 is a wasteful number, since it uses less digits than its factorization.

78494256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2969 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 78494256 is about 8859.6984147317. The cubic root of 78494256 is about 428.1664418015.

The spelling of 78494256 in words is "seventy-eight million, four hundred ninety-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 2767 3152 3546 4728 5534 7092 8301 9456 11068 14184 16602 22136 24903 28368 33204 44272 49806 66408 99612 132816 199224 398448 545099 1090198 1635297 2180396 3270594 4360792 4905891 6541188 8721584 9811782 13082376 19623564 26164752 39247128 78494256