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52742864 = 2423331433
BaseRepresentation
bin1100100100110…
…0101011010000
310200020121121102
43021030223100
5102000232424
65122243532
71210210166
oct311145320
9120217542
1052742864
1127854549
12157b65a8
13ac089c5
14700d236
15496c7ae
hex324cad0

52742864 has 40 divisors (see below), whose sum is σ = 107201472. Its totient is φ = 25090560.

The previous prime is 52742861. The next prime is 52742903. The reversal of 52742864 is 46824725.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52742861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121592 + ... + 122024.

Almost surely, 252742864 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 52742864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53600736).

52742864 is an abundant number, since it is smaller than the sum of its proper divisors (54458608).

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

52742864 is a wasteful number, since it uses less digits than its factorization.

52742864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 789 counting only the distinct ones).

The product of its digits is 107520, while the sum is 38.

The square root of 52742864 is about 7262.4282440517. The cubic root of 52742864 is about 375.0201209944.

The spelling of 52742864 in words is "fifty-two million, seven hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 23 46 92 184 331 368 433 662 866 1324 1732 2648 3464 5296 6928 7613 9959 15226 19918 30452 39836 60904 79672 121808 143323 159344 286646 573292 1146584 2293168 3296429 6592858 13185716 26371432 52742864