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52742718 = 2337231643
BaseRepresentation
bin1100100100110…
…0101000111110
310200020121102000
43021030220332
5102000231333
65122243130
71210206600
oct311145076
9120217360
1052742718
1127854426
12157b64a6
13ac08912
14700d170
15496c713
hex324ca3e

52742718 has 96 divisors (see below), whose sum is σ = 140958720. Its totient is φ = 14560560.

The previous prime is 52742717. The next prime is 52742731. The reversal of 52742718 is 81724725.

52742718 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 (52742713) 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, 81705 + ... + 82347.

It is an arithmetic number, because the mean of its divisors is an integer number (1468320).

Almost surely, 252742718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52742718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70479360).

52742718 is an abundant number, since it is smaller than the sum of its proper divisors (88216002).

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

52742718 is a wasteful number, since it uses less digits than its factorization.

52742718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 686 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 52742718 is about 7262.4181923103. The cubic root of 52742718 is about 375.0197749572.

The spelling of 52742718 in words is "fifty-two million, seven hundred forty-two thousand, seven hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 49 54 62 63 93 98 126 147 186 189 217 279 294 378 434 441 558 643 651 837 882 1286 1302 1323 1519 1674 1929 1953 2646 3038 3858 3906 4501 4557 5787 5859 9002 9114 11574 11718 13503 13671 17361 19933 27006 27342 31507 34722 39866 40509 41013 59799 63014 81018 82026 94521 119598 121527 139531 179397 189042 243054 279062 283563 358794 418593 538191 567126 837186 850689 976717 1076382 1255779 1701378 1953434 2511558 2930151 3767337 5860302 7534674 8790453 17580906 26371359 52742718