Search a number
-
+
5235552000 = 2832537353
BaseRepresentation
bin1001110000001000…
…00010111100000000
3111111212121121011100
410320010002330000
541210300131000
62223304014400
7243512313000
oct47004027400
914455547140
105235552000
112247372788
121021461400
136558b2c83
1437949a000
15209984a00
hex138102f00

5235552000 has 864 divisors, whose sum is σ = 22384252800. Its totient is φ = 1174118400.

The previous prime is 5235551969. The next prime is 5235552079. The reversal of 5235552000 is 2555325.

It is a super-2 number, since 2×52355520002 = 54822009489408000000, 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 95 ways as a sum of consecutive naturals, for example, 98783974 + ... + 98784026.

It is an arithmetic number, because the mean of its divisors is an integer number (25907700).

Almost surely, 25235552000 is an apocalyptic number.

5235552000 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 5235552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11192126400).

5235552000 is an abundant number, since it is smaller than the sum of its proper divisors (17148700800).

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

5235552000 is an equidigital number, since it uses as much as digits as its factorization.

5235552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 27.

The square root of 5235552000 is about 72357.1143703230. The cubic root of 5235552000 is about 1736.4175201096.

The spelling of 5235552000 in words is "five billion, two hundred thirty-five million, five hundred fifty-two thousand".