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52010624 = 27597197
BaseRepresentation
bin1100011001100…
…1111010000000
310121212102011102
43012121322000
5101303314444
65054433532
71201040321
oct306317200
9117772142
1052010624
11273a4396
12155028a8
13aa10623
146c9c448
15487584e
hex3199e80

52010624 has 64 divisors (see below), whose sum is σ = 107956800. Its totient is φ = 24944640.

The previous prime is 52010611. The next prime is 52010639. The reversal of 52010624 is 42601025.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 52010596 and 52010605.

It is an unprimeable number.

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, 536144 + ... + 536240.

It is an arithmetic number, because the mean of its divisors is an integer number (1686825).

Almost surely, 252010624 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 52010624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53978400).

52010624 is an abundant number, since it is smaller than the sum of its proper divisors (55946176).

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

52010624 is an equidigital number, since it uses as much as digits as its factorization.

52010624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 52010624 is about 7211.8391551670. The cubic root of 52010624 is about 373.2765333088.

Adding to 52010624 its reverse (42601025), we get a palindrome (94611649).

The spelling of 52010624 in words is "fifty-two million, ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 59 64 71 97 118 128 142 194 236 284 388 472 568 776 944 1136 1552 1888 2272 3104 3776 4189 4544 5723 6208 6887 7552 8378 9088 11446 12416 13774 16756 22892 27548 33512 45784 55096 67024 91568 110192 134048 183136 220384 268096 366272 406333 440768 536192 732544 812666 881536 1625332 3250664 6501328 13002656 26005312 52010624