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152743052 = 227111943607
BaseRepresentation
bin10010001101010…
…10110010001100
3101122102011002002
421012222302030
5303100234202
623053451432
73533203010
oct1106526214
9348364062
10152743052
1179246130
12431a0b78
132584c607
1416400540
15d622302
hex91aac8c

152743052 has 96 divisors (see below), whose sum is σ = 359546880. Its totient is φ = 54976320.

The previous prime is 152743051. The next prime is 152743093. The reversal of 152743052 is 250347251.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (152743051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251333 + ... + 251939.

It is an arithmetic number, because the mean of its divisors is an integer number (3745280).

Almost surely, 2152743052 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 152743052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179773440).

152743052 is an abundant number, since it is smaller than the sum of its proper divisors (206803828).

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

152743052 is a wasteful number, since it uses less digits than its factorization.

152743052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 152743052 is about 12358.9260051187. The cubic root of 152743052 is about 534.5485486122.

The spelling of 152743052 in words is "one hundred fifty-two million, seven hundred forty-three thousand, fifty-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 43 44 76 77 86 133 154 172 209 266 301 308 418 473 532 602 607 817 836 946 1204 1214 1463 1634 1892 2428 2926 3268 3311 4249 5719 5852 6622 6677 8498 8987 11438 11533 13244 13354 16996 17974 22876 23066 26101 26708 35948 46132 46739 52202 62909 80731 93478 104404 125818 126863 161462 182707 186956 251636 253726 287111 322924 365414 495919 507452 574222 730828 888041 991838 1148444 1776082 1983676 2009777 3471433 3552164 4019554 5455109 6942866 8039108 10910218 13885732 21820436 38185763 76371526 152743052