Search a number
-
+
52398792 = 2333367661
BaseRepresentation
bin1100011111100…
…0101011001000
310122121010122000
43013320223020
5101403230132
65111031000
71204245105
oct307705310
9118533560
1052398792
1127639a96
121566b460
13ab18204
146d5daac
15490087c
hex31f8ac8

52398792 has 64 divisors (see below), whose sum is σ = 146169600. Its totient is φ = 17392320.

The previous prime is 52398791. The next prime is 52398793. The reversal of 52398792 is 29789325.

52398792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52398791) and next prime (52398793).

It is not an unprimeable number, because it can be changed into a prime (52398791) 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 15 ways as a sum of consecutive naturals, for example, 78942 + ... + 79602.

It is an arithmetic number, because the mean of its divisors is an integer number (2283900).

Almost surely, 252398792 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 52398792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73084800).

52398792 is an abundant number, since it is smaller than the sum of its proper divisors (93770808).

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

52398792 is a wasteful number, since it uses less digits than its factorization.

52398792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043 (or 1033 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 52398792 is about 7238.7009884371. The cubic root of 52398792 is about 374.2028506752.

The spelling of 52398792 in words is "fifty-two million, three hundred ninety-eight thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 367 661 734 1101 1322 1468 1983 2202 2644 2936 3303 3966 4404 5288 5949 6606 7932 8808 9909 11898 13212 15864 17847 19818 23796 26424 35694 39636 47592 71388 79272 142776 242587 485174 727761 970348 1455522 1940696 2183283 2911044 4366566 5822088 6549849 8733132 13099698 17466264 26199396 52398792