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52713126 = 2332941821
BaseRepresentation
bin1100100100010…
…1011010100110
310200012002211000
43021011122212
5101443310001
65121454130
71210024404
oct311053246
9120162730
1052713126
1127834174
12157a1346
13abc82cb
147002474
154963a86
hex32456a6

52713126 has 64 divisors (see below), whose sum is σ = 124286400. Its totient is φ = 16531200.

The previous prime is 52713119. The next prime is 52713131. The reversal of 52713126 is 62131725.

It is a happy number.

52713126 is a `hidden beast` number, since 527 + 13 + 126 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 52713126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63796 + ... + 64616.

It is an arithmetic number, because the mean of its divisors is an integer number (1941975).

Almost surely, 252713126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52713126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62143200).

52713126 is an abundant number, since it is smaller than the sum of its proper divisors (71573274).

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

52713126 is a wasteful number, since it uses less digits than its factorization.

52713126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 896 counting only the distinct ones).

The product of its digits is 2520, while the sum is 27.

The square root of 52713126 is about 7260.3805685377. The cubic root of 52713126 is about 374.9496252333.

The spelling of 52713126 in words is "fifty-two million, seven hundred thirteen thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 29 41 54 58 82 87 123 174 246 261 369 522 738 783 821 1107 1189 1566 1642 2214 2378 2463 3567 4926 7134 7389 10701 14778 21402 22167 23809 32103 33661 44334 47618 64206 67322 71427 100983 142854 201966 214281 302949 428562 605898 642843 908847 976169 1285686 1817694 1952338 2928507 5857014 8785521 17571042 26356563 52713126