Search a number
-
+
152852568 = 233111931983
BaseRepresentation
bin10010001110001…
…01100001011000
3101122121201022020
421013011201120
5303112240233
623100054440
73534140211
oct1107054130
9348551266
10152852568
1179310440
1243234420
132588a40b
141642c408
15d6449b3
hex91c5858

152852568 has 128 divisors (see below), whose sum is σ = 453427200. Its totient is φ = 42422400.

The previous prime is 152852561. The next prime is 152852617. The reversal of 152852568 is 865258251.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152852561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 155005 + ... + 155987.

It is an arithmetic number, because the mean of its divisors is an integer number (3542400).

Almost surely, 2152852568 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 152852568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226713600).

152852568 is an abundant number, since it is smaller than the sum of its proper divisors (300574632).

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

152852568 is a wasteful number, since it uses less digits than its factorization.

152852568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053 (or 1049 counting only the distinct ones).

The product of its digits is 192000, while the sum is 42.

The square root of 152852568 is about 12363.3558551067. The cubic root of 152852568 is about 534.6762742977.

The spelling of 152852568 in words is "one hundred fifty-two million, eight hundred fifty-two thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 31 33 38 44 57 62 66 76 88 93 114 124 132 152 186 209 228 248 264 341 372 418 456 589 627 682 744 836 983 1023 1178 1254 1364 1672 1767 1966 2046 2356 2508 2728 2949 3534 3932 4092 4712 5016 5898 6479 7068 7864 8184 10813 11796 12958 14136 18677 19437 21626 23592 25916 30473 32439 37354 38874 43252 51832 56031 60946 64878 74708 77748 86504 91419 112062 121892 129756 149416 155496 182838 205447 224124 243784 259512 335203 365676 410894 448248 578987 616341 670406 731352 821788 1005609 1157974 1232682 1340812 1643576 1736961 2011218 2315948 2465364 2681624 3473922 4022436 4631896 4930728 6368857 6947844 8044872 12737714 13895688 19106571 25475428 38213142 50950856 76426284 152852568