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157855401 = 32111983921
BaseRepresentation
bin10010110100010…
…10111010101001
3102000000212220100
421122022322221
5310402333101
623355220013
73624514554
oct1132127251
9360025810
10157855401
1181118110
1244a47609
132691c582
1416d7169b
15dcd1e86
hex968aea9

157855401 has 24 divisors (see below), whose sum is σ = 261836640. Its totient is φ = 90633600.

The previous prime is 157855391. The next prime is 157855429. The reversal of 157855401 is 104558751.

157855401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 157855401 - 26 = 157855337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157855001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40080 + ... + 43841.

It is an arithmetic number, because the mean of its divisors is an integer number (10909860).

Almost surely, 2157855401 is an apocalyptic number.

157855401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

157855401 is a deficient number, since it is larger than the sum of its proper divisors (103981239).

157855401 is a wasteful number, since it uses less digits than its factorization.

157855401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83957 (or 83954 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 36.

The square root of 157855401 is about 12564.0519339901. The cubic root of 157855401 is about 540.4470474980.

It can be divided in two parts, 157 and 855401, that added together give a palindrome (855558).

The spelling of 157855401 in words is "one hundred fifty-seven million, eight hundred fifty-five thousand, four hundred one".

Divisors: 1 3 9 11 19 33 57 99 171 209 627 1881 83921 251763 755289 923131 1594499 2769393 4783497 8308179 14350491 17539489 52618467 157855401