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52905024 = 2632531733
BaseRepresentation
bin1100100111010…
…0010001000000
310200112212001100
43021310101000
5102020430044
65125534400
71211454024
oct311642100
9120485040
1052905024
1127955367
1215874400
13ac64763
147052384
1549a0869
hex3274440

52905024 has 84 divisors (see below), whose sum is σ = 154593036. Its totient is φ = 17292288.

The previous prime is 52905001. The next prime is 52905031. The reversal of 52905024 is 42050925.

It can be written as a sum of positive squares in 2 ways, for example, as 31002624 + 21902400 = 5568^2 + 4680^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29662 + ... + 31394.

Almost surely, 252905024 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 52905024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77296518).

52905024 is an abundant number, since it is smaller than the sum of its proper divisors (101688012).

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

52905024 is a wasteful number, since it uses less digits than its factorization.

52905024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1804 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 52905024 is about 7273.5839859041. The cubic root of 52905024 is about 375.4040657925.

Adding to 52905024 its reverse (42050925), we get a palindrome (94955949).

The spelling of 52905024 in words is "fifty-two million, nine hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 144 159 192 212 288 318 424 477 576 636 848 954 1272 1696 1733 1908 2544 3392 3466 3816 5088 5199 6932 7632 10176 10398 13864 15264 15597 20796 27728 30528 31194 41592 55456 62388 83184 91849 110912 124776 166368 183698 249552 275547 332736 367396 499104 551094 734792 826641 998208 1102188 1469584 1653282 2204376 2939168 3306564 4408752 5878336 6613128 8817504 13226256 17635008 26452512 52905024