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52830564 = 223191391667
BaseRepresentation
bin1100100110001…
…0000101100100
310200102001220120
43021202011210
5102011034224
65124201540
71211023653
oct311420544
9120361816
1052830564
1127904426
12158392b0
13ac398b7
14703319a
154988779
hex3262164

52830564 has 48 divisors (see below), whose sum is σ = 130771200. Its totient is φ = 16553376.

The previous prime is 52830527. The next prime is 52830581. The reversal of 52830564 is 46503825.

It is a super-3 number, since 3×528305643 (a number of 24 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30859 + ... + 32525.

It is an arithmetic number, because the mean of its divisors is an integer number (2724400).

Almost surely, 252830564 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 52830564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65385600).

52830564 is an abundant number, since it is smaller than the sum of its proper divisors (77940636).

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

52830564 is a wasteful number, since it uses less digits than its factorization.

52830564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 52830564 is about 7268.4636616000. The cubic root of 52830564 is about 375.2278650675.

The spelling of 52830564 in words is "fifty-two million, eight hundred thirty thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 139 228 278 417 556 834 1667 1668 2641 3334 5001 5282 6668 7923 10002 10564 15846 20004 31673 31692 63346 95019 126692 190038 231713 380076 463426 695139 926852 1390278 2780556 4402547 8805094 13207641 17610188 26415282 52830564