Search a number
-
+
157806648 = 233217229563
BaseRepresentation
bin10010110011111…
…11000000111000
3101222221102000200
421121333000320
5310344303043
623354202200
73624222456
oct1131770070
9358842020
10157806648
118109451a
1244a23360
132690331c
1416d5b9d6
15dcc27d3
hex967f038

157806648 has 96 divisors (see below), whose sum is σ = 455317200. Its totient is φ = 49204224.

The previous prime is 157806637. The next prime is 157806667. The reversal of 157806648 is 846608751.

It is a happy number.

157806648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 280015 + ... + 280577.

Almost surely, 2157806648 is an apocalyptic number.

157806648 is a gapful number since it is divisible by the number (18) 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 157806648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227658600).

157806648 is an abundant number, since it is smaller than the sum of its proper divisors (297510552).

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

157806648 is a wasteful number, since it uses less digits than its factorization.

157806648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 157806648 is about 12562.1116059363. Note that the first 3 decimals coincide. The cubic root of 157806648 is about 540.3914034767.

The spelling of 157806648 in words is "one hundred fifty-seven million, eight hundred six thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 229 306 408 458 563 612 687 916 1126 1224 1374 1689 1832 2061 2252 2748 3378 3893 4122 4504 5067 5496 6756 7786 8244 9571 10134 11679 13512 15572 16488 19142 20268 23358 28713 31144 35037 38284 40536 46716 57426 70074 76568 86139 93432 114852 128927 140148 172278 229704 257854 280296 344556 386781 515708 689112 773562 1031416 1160343 1547124 2191759 2320686 3094248 4383518 4641372 6575277 8767036 9282744 13150554 17534072 19725831 26301108 39451662 52602216 78903324 157806648