Search a number
-
+
5845239872 = 262337107323
BaseRepresentation
bin1010111000110011…
…10100100001000000
3120002100211221200122
411130121310201000
543432340133442
62404003435412
7264564501443
oct53431644100
916070757618
105845239872
11252a53825a
121171685b68
13721cc1324
143d644565a
15243267dd2
hex15c674840

5845239872 has 56 divisors (see below), whose sum is σ = 12430694976. Its totient is φ = 2719968768.

The previous prime is 5845239871. The next prime is 5845239887. The reversal of 5845239872 is 2789325485.

It is a super-2 number, since 2×58452398722 = 68333658322437152768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5845239871) 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, 803 + ... + 108125.

It is an arithmetic number, because the mean of its divisors is an integer number (221976696).

Almost surely, 25845239872 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 5845239872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215347488).

5845239872 is an abundant number, since it is smaller than the sum of its proper divisors (6585455104).

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

5845239872 is a wasteful number, since it uses less digits than its factorization.

5845239872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107395 (or 107385 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 53.

The square root of 5845239872 is about 76454.1684409686. The cubic root of 5845239872 is about 1801.3610972752.

The spelling of 5845239872 in words is "five billion, eight hundred forty-five million, two hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 37 46 64 74 92 148 184 296 368 592 736 851 1184 1472 1702 2368 3404 6808 13616 27232 54464 107323 214646 429292 858584 1717168 2468429 3434336 3970951 4936858 6868672 7941902 9873716 15883804 19747432 31767608 39494864 63535216 78989728 91331873 127070432 157979456 182663746 254140864 365327492 730654984 1461309968 2922619936 5845239872