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157530252 = 223112834217
BaseRepresentation
bin10010110001110…
…11100010001100
3101222102100212210
421120323202030
5310311432002
623344230420
73621661605
oct1130734214
9358370783
10157530252
1180a158a0
124490b410
1326837589
1416cc8dac
15dc6a96c
hex963b88c

157530252 has 48 divisors (see below), whose sum is σ = 402498432. Its totient is φ = 47556480.

The previous prime is 157530227. The next prime is 157530253. The reversal of 157530252 is 252035751.

It is not an unprimeable number, because it can be changed into a prime (157530253) 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 15 ways as a sum of consecutive naturals, for example, 35248 + ... + 39464.

It is an arithmetic number, because the mean of its divisors is an integer number (8385384).

Almost surely, 2157530252 is an apocalyptic number.

157530252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157530252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201249216).

157530252 is an abundant number, since it is smaller than the sum of its proper divisors (244968180).

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

157530252 is a wasteful number, since it uses less digits than its factorization.

157530252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4518 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 10500, while the sum is 30.

The square root of 157530252 is about 12551.1056086705. The cubic root of 157530252 is about 540.0757232630.

The spelling of 157530252 in words is "one hundred fifty-seven million, five hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 283 566 849 1132 1698 3113 3396 4217 6226 8434 9339 12452 12651 16868 18678 25302 37356 46387 50604 92774 139161 185548 278322 556644 1193411 2386822 3580233 4773644 7160466 13127521 14320932 26255042 39382563 52510084 78765126 157530252