Search a number
-
+
152464732 = 22741592251
BaseRepresentation
bin10010001011001…
…10110101011100
3101121220000021221
421011212311130
5303012332412
623043503124
73530633410
oct1105466534
9347800257
10152464732
1179076012
1243087aa4
1325782a24
141636ad40
15d5b9b07
hex9166d5c

152464732 has 48 divisors (see below), whose sum is σ = 317802240. Its totient is φ = 62640000.

The previous prime is 152464717. The next prime is 152464751. The reversal of 152464732 is 237464251.

152464732 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66607 + ... + 68857.

It is an arithmetic number, because the mean of its divisors is an integer number (6620880).

Almost surely, 2152464732 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 152464732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158901120).

152464732 is an abundant number, since it is smaller than the sum of its proper divisors (165337508).

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

152464732 is a wasteful number, since it uses less digits than its factorization.

152464732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2360 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 152464732 is about 12347.6609930788. The cubic root of 152464732 is about 534.2236762089.

The spelling of 152464732 in words is "one hundred fifty-two million, four hundred sixty-four thousand, seven hundred thirty-two".

Divisors: 1 2 4 7 14 28 41 59 82 118 164 236 287 413 574 826 1148 1652 2251 2419 4502 4838 9004 9676 15757 16933 31514 33866 63028 67732 92291 132809 184582 265618 369164 531236 646037 929663 1292074 1859326 2584148 3718652 5445169 10890338 21780676 38116183 76232366 152464732