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157939093 = 13412571153
BaseRepresentation
bin10010110100111…
…11010110010101
3102000012010201001
421122133112111
5310413022333
623401103301
73625313554
oct1132372625
9360163631
10157939093
1181174a84
1244a87b31
132694b6b0
1416d93d9b
15dcebb7d
hex969f595

157939093 has 16 divisors (see below), whose sum is σ = 175066416. Its totient is φ = 141557760.

The previous prime is 157939073. The next prime is 157939097. The reversal of 157939093 is 390939751.

It can be written as a sum of positive squares in 8 ways, for example, as 9604 + 157929489 = 98^2 + 12567^2 .

It is a cyclic number.

It is not a de Polignac number, because 157939093 - 29 = 157938581 is a prime.

It is a super-3 number, since 3×1579390933 (a number of 26 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157939097) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136405 + ... + 137557.

It is an arithmetic number, because the mean of its divisors is an integer number (10941651).

Almost surely, 2157939093 is an apocalyptic number.

157939093 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

157939093 is a deficient number, since it is larger than the sum of its proper divisors (17127323).

157939093 is a wasteful number, since it uses less digits than its factorization.

157939093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464.

The product of its (nonzero) digits is 229635, while the sum is 46.

The square root of 157939093 is about 12567.3821060713. The cubic root of 157939093 is about 540.5425422838.

The spelling of 157939093 in words is "one hundred fifty-seven million, nine hundred thirty-nine thousand, ninety-three".

Divisors: 1 13 41 257 533 1153 3341 10537 14989 47273 136981 296321 614549 3852173 12149161 157939093