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157742964 = 2235162287
BaseRepresentation
bin10010110011011…
…11011101110100
3101222211011200000
421121233131310
5310340233324
623352551300
73623536011
oct1131573564
9358734600
10157742964
1181050695
12449b2530
13268b0342
1416d42708
15dcad9c9
hex966f774

157742964 has 36 divisors (see below), whose sum is σ = 413509824. Its totient is φ = 52580664.

The previous prime is 157742939. The next prime is 157742969. The reversal of 157742964 is 469247751.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157742969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 80172 + ... + 82115.

It is an arithmetic number, because the mean of its divisors is an integer number (11486384).

Almost surely, 2157742964 is an apocalyptic number.

It is an amenable number.

157742964 is an abundant number, since it is smaller than the sum of its proper divisors (255766860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157742964 is a wasteful number, since it uses less digits than its factorization.

157742964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162306 (or 162292 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 157742964 is about 12559.5765852197. The cubic root of 157742964 is about 540.3187007590.

The spelling of 157742964 in words is "one hundred fifty-seven million, seven hundred forty-two thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 162287 324574 486861 649148 973722 1460583 1947444 2921166 4381749 5842332 8763498 13145247 17526996 26290494 39435741 52580988 78871482 157742964