Search a number
-
+
5827633632 = 253220234839
BaseRepresentation
bin1010110110101101…
…01010000111100000
3120001010201110110200
411123112222013200
543413333234012
62402134225200
7264262032342
oct53326520740
916033643420
105827633632
112520602447
1211677b5200
1371b468632
143d3d81292
1524193b3dc
hex15b5aa1e0

5827633632 has 36 divisors (see below), whose sum is σ = 16572333960. Its totient is φ = 1942544448.

The previous prime is 5827633573. The next prime is 5827633667. The reversal of 5827633632 is 2363367285.

5827633632 is a `hidden beast` number, since 5 + 8 + 2 + 7 + 6 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×58276336322 = 67922627497635022848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10117132 + ... + 10117707.

It is an arithmetic number, because the mean of its divisors is an integer number (460342610).

Almost surely, 25827633632 is an apocalyptic number.

It is an amenable number.

5827633632 is an abundant number, since it is smaller than the sum of its proper divisors (10744700328).

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

5827633632 is a wasteful number, since it uses less digits than its factorization.

5827633632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20234855 (or 20234844 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 5827633632 is about 76338.9391595141. The cubic root of 5827633632 is about 1799.5506730308.

The spelling of 5827633632 in words is "five billion, eight hundred twenty-seven million, six hundred thirty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 20234839 40469678 60704517 80939356 121409034 161878712 182113551 242818068 323757424 364227102 485636136 647514848 728454204 971272272 1456908408 1942544544 2913816816 5827633632