Search a number
-
+
52832243520 = 263557312101
BaseRepresentation
bin110001001101000011…
…000000111101000000
312001100222012001100000
4301031003000331000
51331200023243040
640134254200000
73550142442330
oct611503007500
9161328161300
1052832243520
1120451473581
12a2a54b3000
134c9c779174
1427b29490c0
15159334d130
hexc4d0c0f40

52832243520 has 1008 divisors, whose sum is σ = 224747961984. Its totient is φ = 11570688000.

The previous prime is 52832243507. The next prime is 52832243549. The reversal of 52832243520 is 2534223825.

52832243520 is a `hidden beast` number, since 5 + 2 + 83 + 224 + 352 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 523091470 + ... + 523091570.

It is an arithmetic number, because the mean of its divisors is an integer number (222964248).

Almost surely, 252832243520 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 52832243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112373980992).

52832243520 is an abundant number, since it is smaller than the sum of its proper divisors (171915718464).

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

52832243520 is a wasteful number, since it uses less digits than its factorization.

52832243520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 52832243520 in words is "fifty-two billion, eight hundred thirty-two million, two hundred forty-three thousand, five hundred twenty".