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52830752 = 251329769
BaseRepresentation
bin1100100110001…
…0001000100000
310200102002011112
43021202020200
5102011041002
65124202452
71211024342
oct311421040
9120362145
1052830752
1127904587
1215839428
13ac39a00
147033292
154988852
hex3262220

52830752 has 36 divisors (see below), whose sum is σ = 112638330. Its totient is φ = 24380928.

The previous prime is 52830737. The next prime is 52830769. The reversal of 52830752 is 25703825.

It can be written as a sum of positive squares in 3 ways, for example, as 22316176 + 30514576 = 4724^2 + 5524^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 524 + ... + 10292.

Almost surely, 252830752 is an apocalyptic number.

52830752 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 52830752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56319165).

52830752 is an abundant number, since it is smaller than the sum of its proper divisors (59807578).

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

52830752 is a wasteful number, since it uses less digits than its factorization.

52830752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9805 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 52830752 is about 7268.4765941702. The cubic root of 52830752 is about 375.2283101556.

The spelling of 52830752 in words is "fifty-two million, eight hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2704 5408 9769 19538 39076 78152 126997 156304 253994 312608 507988 1015976 1650961 2031952 3301922 4063904 6603844 13207688 26415376 52830752