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52013598 = 23721331439
BaseRepresentation
bin1100011001101…
…0101000011110
310121212120020120
43012122220132
5101303413343
65054455410
71201052100
oct306325036
9117776216
1052013598
11273a664a
1215504566
13aa11aa0
146c9d570
154876683
hex319aa1e

52013598 has 96 divisors (see below), whose sum is σ = 134830080. Its totient is φ = 13245120.

The previous prime is 52013597. The next prime is 52013609. The reversal of 52013598 is 89531025.

52013598 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52013593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118263 + ... + 118701.

It is an arithmetic number, because the mean of its divisors is an integer number (1404480).

Almost surely, 252013598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52013598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67415040).

52013598 is an abundant number, since it is smaller than the sum of its proper divisors (82816482).

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

52013598 is a wasteful number, since it uses less digits than its factorization.

52013598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 52013598 is about 7212.0453409556. The cubic root of 52013598 is about 373.2836479017.

The spelling of 52013598 in words is "fifty-two million, thirteen thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 49 62 78 91 93 98 147 182 186 217 273 294 403 434 439 546 637 651 806 878 1209 1274 1302 1317 1519 1911 2418 2634 2821 3038 3073 3822 4557 5642 5707 6146 8463 9114 9219 11414 13609 16926 17121 18438 19747 21511 27218 34242 39494 39949 40827 43022 59241 64533 79898 81654 95263 118482 119847 129066 176917 190526 239694 279643 285789 353834 530751 559286 571578 666841 838929 1061502 1238419 1333682 1677858 2000523 2476838 3715257 4001046 7430514 8668933 17337866 26006799 52013598