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157731841 = 29113127379
BaseRepresentation
bin10010110011011…
…00110000000001
3101222210121102001
421121230300001
5310334404331
623352424001
73623461411
oct1131546001
9358717361
10157731841
11810432a3
12449a8001
13268a8267
1416d3c641
15dcaa561
hex966cc01

157731841 has 16 divisors (see below), whose sum is σ = 166348800. Its totient is φ = 149361408.

The previous prime is 157731823. The next prime is 157731881. The reversal of 157731841 is 148137751.

It is a 4-Lehmer number, since φ(157731841) divides (157731841-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 157731841 - 27 = 157731713 is a prime.

It is a deceptive number, since it divides R157731840.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 157731841.

It is not an unprimeable number, because it can be changed into a prime (157731881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 415990 + ... + 416368.

It is an arithmetic number, because the mean of its divisors is an integer number (10396800).

It is a Poulet number, since it divides 2157731840-1.

Almost surely, 2157731841 is an apocalyptic number.

It is an amenable number.

157731841 is a deficient number, since it is larger than the sum of its proper divisors (8616959).

157731841 is a wasteful number, since it uses less digits than its factorization.

157731841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648.

The product of its digits is 23520, while the sum is 37.

The square root of 157731841 is about 12559.1337678998. The cubic root of 157731841 is about 540.3060005492.

The spelling of 157731841 in words is "one hundred fifty-seven million, seven hundred thirty-one thousand, eight hundred forty-one".

Divisors: 1 29 113 127 379 3277 3683 10991 14351 42827 48133 416179 1241983 1395857 5439029 157731841