Search a number
-
+
5202542592 = 21532132359
BaseRepresentation
bin1001101100001100…
…01000000000000000
3111102120111112202200
410312012020000000
541123322330332
62220124313200
7242631611442
oct46606100000
914376445680
105202542592
11222a777285
1210123a2800
1364bac6290
14374d46492
15206b1417c
hex136188000

5202542592 has 384 divisors, whose sum is σ = 17175412800. Its totient is φ = 1505230848.

The previous prime is 5202542591. The next prime is 5202542599. The reversal of 5202542592 is 2952452025.

It is a happy number.

5202542592 is a `hidden beast` number, since 5 + 2 + 0 + 25 + 42 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5202542591) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88178659 + ... + 88178717.

Almost surely, 25202542592 is an apocalyptic number.

5202542592 is a gapful number since it is divisible by the number (52) 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 5202542592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8587706400).

5202542592 is an abundant number, since it is smaller than the sum of its proper divisors (11972870208).

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

5202542592 is a wasteful number, since it uses less digits than its factorization.

5202542592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5202542592 is about 72128.6530582680. The cubic root of 5202542592 is about 1732.7605355203.

The spelling of 5202542592 in words is "five billion, two hundred two million, five hundred forty-two thousand, five hundred ninety-two".