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52039746 = 23411192953
BaseRepresentation
bin1100011010000…
…1000001000010
310121220220010000
43012201001002
5101310232441
65055220430
71201221243
oct306410102
9117826100
1052039746
1127414260
1215517716
13aa20965
146ca8cca
15487e2b6
hex31a1042

52039746 has 160 divisors (see below), whose sum is σ = 141134400. Its totient is φ = 14152320.

The previous prime is 52039733. The next prime is 52039747. The reversal of 52039746 is 64793025.

52039746 is a `hidden beast` number, since 520 + 3 + 97 + 46 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 52039746.

It is not an unprimeable number, because it can be changed into a prime (52039747) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 981856 + ... + 981908.

It is an arithmetic number, because the mean of its divisors is an integer number (882090).

It is a vampire number, since it can be written as 57429063 (with its own digits).

Almost surely, 252039746 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52039746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70567200).

52039746 is an abundant number, since it is smaller than the sum of its proper divisors (89094654).

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

52039746 is a wasteful number, since it uses less digits than its factorization.

52039746 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 52039746 is about 7213.8579137657. The cubic root of 52039746 is about 373.3461891477.

The spelling of 52039746 in words is "fifty-two million, thirty-nine thousand, seven hundred forty-six".

Divisors: 1 2 3 6 9 11 18 19 22 27 29 33 38 53 54 57 58 66 81 87 99 106 114 159 162 171 174 198 209 261 297 318 319 342 418 477 513 522 551 583 594 627 638 783 891 954 957 1007 1026 1102 1166 1254 1431 1537 1539 1566 1653 1749 1782 1881 1914 2014 2349 2862 2871 3021 3074 3078 3306 3498 3762 4293 4611 4698 4959 5247 5643 5742 6042 6061 8586 8613 9063 9222 9918 10494 11077 11286 12122 13833 14877 15741 16907 16929 17226 18126 18183 22154 25839 27189 27666 29203 29754 31482 33231 33814 33858 36366 41499 44631 47223 50721 51678 54378 54549 58406 66462 81567 82998 87609 89262 94446 99693 101442 109098 124497 152163 163134 163647 175218 199386 248994 262827 299079 304326 321233 327294 456489 490941 525654 598158 642466 788481 897237 912978 963699 981882 1369467 1576962 1794474 1927398 2365443 2738934 2891097 4730886 5782194 8673291 17346582 26019873 52039746