Search a number
-
+
76533264 = 2432531481
BaseRepresentation
bin1001000111111…
…00111000010000
312100000021220100
410203330320100
5124043031024
611332212400
71616344023
oct443747020
9170007810
1076533264
113a223635
122176a100
1312b18472
14a2431ba
156abb7c9
hex48fce10

76533264 has 30 divisors (see below), whose sum is σ = 214187246. Its totient is φ = 25511040.

The previous prime is 76533253. The next prime is 76533299. The reversal of 76533264 is 46233567.

It can be written as a sum of positive squares in only one way, i.e., 38340864 + 38192400 = 6192^2 + 6180^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 265597 + ... + 265884.

Almost surely, 276533264 is an apocalyptic number.

It is an amenable number.

76533264 is an abundant number, since it is smaller than the sum of its proper divisors (137653982).

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

76533264 is a wasteful number, since it uses less digits than its factorization.

76533264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531495 (or 531486 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 76533264 is about 8748.3292119124. The cubic root of 76533264 is about 424.5707573912.

The spelling of 76533264 in words is "seventy-six million, five hundred thirty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 531481 1062962 1594443 2125924 3188886 4251848 4783329 6377772 8503696 9566658 12755544 19133316 25511088 38266632 76533264