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157661088 = 253131961109
BaseRepresentation
bin10010110010110…
…11011110100000
3101222200000100120
421121123132200
5310330123323
623351120240
73623045214
oct1131333640
9358600316
10157661088
1180aa5122
1244973080
1326881cb0
1416d20944
15dc945e3
hex965b7a0

157661088 has 192 divisors, whose sum is σ = 481219200. Its totient is φ = 44789760.

The previous prime is 157661087. The next prime is 157661131. The reversal of 157661088 is 880166751.

157661088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (157661087) 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, 1446378 + ... + 1446486.

It is an arithmetic number, because the mean of its divisors is an integer number (2506350).

Almost surely, 2157661088 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 157661088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240609600).

157661088 is an abundant number, since it is smaller than the sum of its proper divisors (323558112).

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

157661088 is a wasteful number, since it uses less digits than its factorization.

157661088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 42.

The square root of 157661088 is about 12556.3166573641. The cubic root of 157661088 is about 540.2252009939.

The spelling of 157661088 in words is "one hundred fifty-seven million, six hundred sixty-one thousand, eighty-eight".