Search a number
-
+
52315357248 = 26357211792
BaseRepresentation
bin110000101110001111…
…010000000001000000
312000000221120111200000
4300232033100001000
51324120212412443
640011111400000
73531265125300
oct605617200100
9160027514600
1052315357248
1120206723240
12a180383000
134c19660cbb
142764039600
151562c9b8d3
hexc2e3d0040

52315357248 has 756 divisors, whose sum is σ = 199869716592. Its totient is φ = 13416399360.

The previous prime is 52315357231. The next prime is 52315357249. The reversal of 52315357248 is 84275351325.

52315357248 is a `hidden beast` number, since 5 + 2 + 3 + 1 + 535 + 72 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

It is a super-2 number, since 2×523153572482 (a number of 22 digits) contains 22 as substring.

Its product of digits (1008000) is a multiple of the sum of its prime factors (210).

It is not an unprimeable number, because it can be changed into a prime (52315357249) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 662219673 + ... + 662219751.

It is an arithmetic number, because the mean of its divisors is an integer number (264377932).

Almost surely, 252315357248 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 52315357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99934858296).

52315357248 is an abundant number, since it is smaller than the sum of its proper divisors (147554359344).

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

52315357248 is an equidigital number, since it uses as much as digits as its factorization.

52315357248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 102 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 52315357248 in words is "fifty-two billion, three hundred fifteen million, three hundred fifty-seven thousand, two hundred forty-eight".