Search a number
-
+
155515052 = 227112329757
BaseRepresentation
bin10010100010011…
…11100010101100
3101211121222112202
421101033202230
5304302440202
623233121032
73565566440
oct1121174254
9354558482
10155515052
117a869840
12440b9178
13262b0254
1416922820
15d9bd802
hex944f8ac

155515052 has 96 divisors (see below), whose sum is σ = 366750720. Its totient is φ = 55883520.

The previous prime is 155515037. The next prime is 155515067. The reversal of 155515052 is 250515551.

It is an interprime number because it is at equal distance from previous prime (155515037) and next prime (155515067).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 205058 + ... + 205814.

It is an arithmetic number, because the mean of its divisors is an integer number (3820320).

Almost surely, 2155515052 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 155515052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183375360).

155515052 is an abundant number, since it is smaller than the sum of its proper divisors (211235668).

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

155515052 is a wasteful number, since it uses less digits than its factorization.

155515052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 29.

The square root of 155515052 is about 12470.5674289505. The cubic root of 155515052 is about 537.7628663395.

The spelling of 155515052 in words is "one hundred fifty-five million, five hundred fifteen thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 23 28 29 44 46 58 77 92 116 154 161 203 253 308 319 322 406 506 638 644 667 757 812 1012 1276 1334 1514 1771 2233 2668 3028 3542 4466 4669 5299 7084 7337 8327 8932 9338 10598 14674 16654 17411 18676 21196 21953 29348 33308 34822 43906 51359 58289 69644 87812 102718 116578 121877 153671 191521 205436 233156 241483 243754 307342 383042 482966 487508 504919 614684 766084 965932 1009838 1340647 1690381 2019676 2681294 3380762 3534433 5362588 5554109 6761524 7068866 11108218 14137732 22216436 38878763 77757526 155515052