Search a number
-
+
72430656 = 2633111213
BaseRepresentation
bin1000101000100…
…11010001000000
312001021212011220
410110103101000
5122020240111
611104235040
71536436044
oct424232100
9161255156
1072430656
1137981251
122030ba80
131200cc9c
149896024
15655ae06
hex4513440

72430656 has 56 divisors (see below), whose sum is σ = 192414144. Its totient is φ = 24046080.

The previous prime is 72430651. The next prime is 72430669. The reversal of 72430656 is 65603427.

It is not an unprimeable number, because it can be changed into a prime (72430651) 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, 59106 + ... + 60318.

Almost surely, 272430656 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 72430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96207072).

72430656 is an abundant number, since it is smaller than the sum of its proper divisors (119983488).

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

72430656 is a wasteful number, since it uses less digits than its factorization.

72430656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 72430656 is about 8510.6201889169. The cubic root of 72430656 is about 416.8445613353.

The spelling of 72430656 in words is "seventy-two million, four hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 311 622 933 1213 1244 1866 2426 2488 3639 3732 4852 4976 7278 7464 9704 9952 14556 14928 19408 19904 29112 29856 38816 58224 59712 77632 116448 232896 377243 754486 1131729 1508972 2263458 3017944 4526916 6035888 9053832 12071776 18107664 24143552 36215328 72430656