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5232440800 = 255222728813
BaseRepresentation
bin1001101111110000…
…01011010111100000
3111111122202112101201
410313320023113200
541204001101200
62223113210544
7243444004306
oct46770132740
914448675351
105232440800
112245638244
121020400a54
13655063b22
14378cca276
1520956cc6a
hex137e0b5e0

5232440800 has 72 divisors (see below), whose sum is σ = 12830413176. Its totient is φ = 2083683840.

The previous prime is 5232440791. The next prime is 5232440813. The reversal of 5232440800 is 80442325.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167194 + ... + 196006.

It is an arithmetic number, because the mean of its divisors is an integer number (178200183).

Almost surely, 25232440800 is an apocalyptic number.

5232440800 is a gapful number since it is divisible by the number (50) 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 5232440800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6415206588).

5232440800 is an abundant number, since it is smaller than the sum of its proper divisors (7597972376).

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

5232440800 is a wasteful number, since it uses less digits than its factorization.

5232440800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29060 (or 29047 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 5232440800 is about 72335.6122528869. The cubic root of 5232440800 is about 1736.0734995462.

The spelling of 5232440800 in words is "five billion, two hundred thirty-two million, four hundred forty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 227 400 454 800 908 1135 1816 2270 3632 4540 5675 7264 9080 11350 18160 22700 28813 36320 45400 57626 90800 115252 144065 181600 230504 288130 461008 576260 720325 922016 1152520 1440650 2305040 2881300 4610080 5762600 6540551 11525200 13081102 23050400 26162204 32702755 52324408 65405510 104648816 130811020 163513775 209297632 261622040 327027550 523244080 654055100 1046488160 1308110200 2616220400 5232440800