Search a number
-
+
157348864 = 210374153
BaseRepresentation
bin10010110000011…
…11010000000000
3101222002011001201
421120033100000
5310240130424
623340310544
73620305021
oct1130172000
9358064051
10157348864
1180901592
1244842454
13267a2b4a
1416c7cc48
15dc31d44
hex960f400

157348864 has 44 divisors (see below), whose sum is σ = 323123044. Its totient is φ = 76529664.

The previous prime is 157348853. The next prime is 157348879. The reversal of 157348864 is 468843751.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 61465600 + 95883264 = 7840^2 + 9792^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35812 + ... + 39964.

Almost surely, 2157348864 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 157348864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161561522).

157348864 is an abundant number, since it is smaller than the sum of its proper divisors (165774180).

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

157348864 is an equidigital number, since it uses as much as digits as its factorization.

157348864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4210 (or 4192 counting only the distinct ones).

The product of its digits is 645120, while the sum is 46.

The square root of 157348864 is about 12543.8775504228. The cubic root of 157348864 is about 539.8683538255.

The spelling of 157348864 in words is "one hundred fifty-seven million, three hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 1024 1184 2368 4153 4736 8306 9472 16612 18944 33224 37888 66448 132896 153661 265792 307322 531584 614644 1063168 1229288 2126336 2458576 4252672 4917152 9834304 19668608 39337216 78674432 157348864