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5332438592 = 26137387797
BaseRepresentation
bin1001111011101011…
…01000111001000000
3111202121220221120122
410331311220321000
541410101013332
62241044355412
7246066660125
oct47565507100
914677827518
105332438592
112297028048
1210499a5b68
1366c9a6610
143882ba74c
15213221c12
hex13dd68e40

5332438592 has 56 divisors (see below), whose sum is σ = 11551758456. Its totient is φ = 2427383808.

The previous prime is 5332438583. The next prime is 5332438609. The reversal of 5332438592 is 2958342335.

It can be written as a sum of positive squares in 4 ways, for example, as 469328896 + 4863109696 = 21664^2 + 69736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16838 + ... + 104634.

It is an arithmetic number, because the mean of its divisors is an integer number (206281401).

Almost surely, 25332438592 is an apocalyptic number.

5332438592 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5332438592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775879228).

5332438592 is an abundant number, since it is smaller than the sum of its proper divisors (6219319864).

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

5332438592 is a wasteful number, since it uses less digits than its factorization.

5332438592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87895 (or 87885 counting only the distinct ones).

The product of its digits is 777600, while the sum is 44.

The square root of 5332438592 is about 73023.5482019328. The cubic root of 5332438592 is about 1747.0632204397.

The spelling of 5332438592 in words is "five billion, three hundred thirty-two million, four hundred thirty-eight thousand, five hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 73 104 146 208 292 416 584 832 949 1168 1898 2336 3796 4672 7592 15184 30368 60736 87797 175594 351188 702376 1141361 1404752 2282722 2809504 4565444 5619008 6409181 9130888 12818362 18261776 25636724 36523552 51273448 73047104 83319353 102546896 166638706 205093792 333277412 410187584 666554824 1333109648 2666219296 5332438592