Search a number
-
+
157947309 = 32131349977
BaseRepresentation
bin10010110101000…
…01010110101101
3102000012112222100
421122201112231
5310413303214
623401205313
73625346532
oct1132412655
9360175870
10157947309
1181180173
1244a90839
1326952360
1416d96d89
15dcee309
hex96a15ad

157947309 has 12 divisors (see below), whose sum is σ = 245695996. Its totient is φ = 97198272.

The previous prime is 157947287. The next prime is 157947313. The reversal of 157947309 is 903749751.

157947309 is a `hidden beast` number, since 1 + 579 + 4 + 73 + 0 + 9 = 666.

157947309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 35070084 + 122877225 = 5922^2 + 11085^2 .

It is not a de Polignac number, because 157947309 - 223 = 149558701 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157947319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 674872 + ... + 675105.

Almost surely, 2157947309 is an apocalyptic number.

It is an amenable number.

157947309 is a deficient number, since it is larger than the sum of its proper divisors (87748687).

157947309 is a wasteful number, since it uses less digits than its factorization.

157947309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349996 (or 1349993 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 157947309 is about 12567.7089797624. The cubic root of 157947309 is about 540.5519151385.

The spelling of 157947309 in words is "one hundred fifty-seven million, nine hundred forty-seven thousand, three hundred nine".

Divisors: 1 3 9 13 39 117 1349977 4049931 12149793 17549701 52649103 157947309