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52542288 = 24321133229
BaseRepresentation
bin1100100001101…
…1101101010000
310122212102110200
43020123231100
5101422323123
65114055200
71205413341
oct310335520
9118772420
1052542288
1127727887
121571a500
13ab68616
146d9a0c8
15492d143
hex321bb50

52542288 has 60 divisors (see below), whose sum is σ = 148392660. Its totient is φ = 17353728.

The previous prime is 52542283. The next prime is 52542311. The reversal of 52542288 is 88224525.

It can be written as a sum of positive squares in 2 ways, for example, as 6411024 + 46131264 = 2532^2 + 6792^2 .

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 (52542283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14658 + ... + 17886.

It is an arithmetic number, because the mean of its divisors is an integer number (2473211).

Almost surely, 252542288 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 52542288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74196330).

52542288 is an abundant number, since it is smaller than the sum of its proper divisors (95850372).

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

52542288 is a wasteful number, since it uses less digits than its factorization.

52542288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356 (or 3347 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 52542288 is about 7248.6059349367. The cubic root of 52542288 is about 374.5441287082.

The spelling of 52542288 in words is "fifty-two million, five hundred forty-two thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 113 144 226 339 452 678 904 1017 1356 1808 2034 2712 3229 4068 5424 6458 8136 9687 12916 16272 19374 25832 29061 38748 51664 58122 77496 116244 154992 232488 364877 464976 729754 1094631 1459508 2189262 2919016 3283893 4378524 5838032 6567786 8757048 13135572 17514096 26271144 52542288