Search a number
-
+
76331268 = 22331354367
BaseRepresentation
bin1001000110010…
…11100100000100
312022122000211000
410203023210010
5124020100033
611324013300
71614543066
oct443134404
9168560730
1076331268
113a0a58a2
1221691230
1312a77540
14a1cd736
156a7ba13
hex48cb904

76331268 has 48 divisors (see below), whose sum is σ = 213122560. Its totient is φ = 23486112.

The previous prime is 76331267. The next prime is 76331293. The reversal of 76331268 is 86213367.

It is a happy number.

76331268 is a `hidden beast` number, since 7 + 633 + 12 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (76331267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25780 + ... + 28587.

Almost surely, 276331268 is an apocalyptic number.

76331268 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

76331268 is an abundant number, since it is smaller than the sum of its proper divisors (136791292).

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

76331268 is a wasteful number, since it uses less digits than its factorization.

76331268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54393 (or 54385 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 76331268 is about 8736.7767511823. The cubic root of 76331268 is about 424.1969018417.

The spelling of 76331268 in words is "seventy-six million, three hundred thirty-one thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 54367 108734 163101 217468 326202 489303 652404 706771 978606 1413542 1467909 1957212 2120313 2827084 2935818 4240626 5871636 6360939 8481252 12721878 19082817 25443756 38165634 76331268