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52618842 = 2331731432
BaseRepresentation
bin1100100010111…
…0011001011010
310200000022111000
43020232121122
5101432300332
65115445430
71206152463
oct310563132
9120008430
1052618842
112777a351
1215756876
13ab94413
146db9d6a
154945b7c
hex322e65a

52618842 has 96 divisors (see below), whose sum is σ = 130844160. Its totient is φ = 15603840.

The previous prime is 52618837. The next prime is 52618849. The reversal of 52618842 is 24881625.

52618842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (30720) is a multiple of the sum of its prime divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 52618797 and 52618806.

It is not an unprimeable number, because it can be changed into a prime (52618849) 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, 1223673 + ... + 1223715.

It is an arithmetic number, because the mean of its divisors is an integer number (1362960).

Almost surely, 252618842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52618842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65422080).

52618842 is an abundant number, since it is smaller than the sum of its proper divisors (78225318).

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

52618842 is a wasteful number, since it uses less digits than its factorization.

52618842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 96 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 52618842 is about 7253.8846144669. The cubic root of 52618842 is about 374.7259437639.

The spelling of 52618842 in words is "fifty-two million, six hundred eighteen thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 31 34 43 51 54 62 86 93 102 129 153 186 258 279 306 387 459 527 558 731 774 837 918 1054 1161 1333 1462 1581 1674 1849 2193 2322 2666 3162 3698 3999 4386 4743 5547 6579 7998 9486 11094 11997 13158 14229 16641 19737 22661 23994 28458 31433 33282 35991 39474 45322 49923 57319 62866 67983 71982 94299 99846 114638 135966 171957 188598 203949 282897 343914 407898 515871 565794 611847 848691 974423 1031742 1223694 1547613 1697382 1948846 2923269 3095226 5846538 8769807 17539614 26309421 52618842