Search a number
-
+
30992624 = 24131091367
BaseRepresentation
bin111011000111…
…0100011110000
32011022120212222
41312032203300
530413230444
63024140212
7524301335
oct166164360
964276788
1030992624
1116549243
12a467668
136561a40
14418a98c
152ac2eee
hex1d8e8f0

30992624 has 40 divisors (see below), whose sum is σ = 65308320. Its totient is φ = 14162688.

The previous prime is 30992609. The next prime is 30992627. The reversal of 30992624 is 42629903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30992627) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21989 + ... + 23355.

It is an arithmetic number, because the mean of its divisors is an integer number (1632708).

Almost surely, 230992624 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 30992624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32654160).

30992624 is an abundant number, since it is smaller than the sum of its proper divisors (34315696).

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

30992624 is a wasteful number, since it uses less digits than its factorization.

30992624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1497 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 30992624 is about 5567.1019390703. The cubic root of 30992624 is about 314.1131483986.

The spelling of 30992624 in words is "thirty million, nine hundred ninety-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 109 208 218 436 872 1367 1417 1744 2734 2834 5468 5668 10936 11336 17771 21872 22672 35542 71084 142168 149003 284336 298006 596012 1192024 1937039 2384048 3874078 7748156 15496312 30992624