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157397349 = 31923211569
BaseRepresentation
bin10010110000110…
…11000101100101
3101222011121120110
421120123011211
5310243203344
623341323233
73620566254
oct1130330545
9358147513
10157397349
1180934a5a
1244866519
13267bbc35
1416c9279b
15dc413b9
hex961b165

157397349 has 32 divisors (see below), whose sum is σ = 232012800. Its totient is φ = 94469760.

The previous prime is 157397221. The next prime is 157397369. The reversal of 157397349 is 943793751.

It is a happy number.

It is not a de Polignac number, because 157397349 - 27 = 157397221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 157397298 and 157397307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157397369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 276337 + ... + 276905.

It is an arithmetic number, because the mean of its divisors is an integer number (7250400).

Almost surely, 2157397349 is an apocalyptic number.

157397349 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

157397349 is a deficient number, since it is larger than the sum of its proper divisors (74615451).

157397349 is a wasteful number, since it uses less digits than its factorization.

157397349 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825.

The product of its digits is 714420, while the sum is 48.

The square root of 157397349 is about 12545.8100176912. The cubic root of 157397349 is about 539.9237992613.

The spelling of 157397349 in words is "one hundred fifty-seven million, three hundred ninety-seven thousand, three hundred forty-nine".

Divisors: 1 3 19 23 57 69 211 437 569 633 1311 1707 4009 4853 10811 12027 13087 14559 32433 39261 92207 120059 248653 276621 360177 745959 2281121 2761357 6843363 8284071 52465783 157397349