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157934946 = 23134767643
BaseRepresentation
bin10010110100111…
…10010101100010
3102000011221000110
421122132111202
5310412404241
623401032150
73625265511
oct1132362542
9360157013
10157934946
1181171954
1244a85656
1326949840
1416d92678
15dcea816
hex969e562

157934946 has 64 divisors (see below), whose sum is σ = 353138688. Its totient is φ = 46778688.

The previous prime is 157934939. The next prime is 157934963. The reversal of 157934946 is 649439751.

157934946 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 157934895 and 157934904.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 245301 + ... + 245943.

It is an arithmetic number, because the mean of its divisors is an integer number (5517792).

Almost surely, 2157934946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157934946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176569344).

157934946 is an abundant number, since it is smaller than the sum of its proper divisors (195203742).

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

157934946 is a wasteful number, since it uses less digits than its factorization.

157934946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775.

The product of its digits is 816480, while the sum is 48.

The square root of 157934946 is about 12567.2171143814. The cubic root of 157934946 is about 540.5378112416.

The spelling of 157934946 in words is "one hundred fifty-seven million, nine hundred thirty-four thousand, nine hundred forty-six".

Divisors: 1 2 3 6 13 26 39 47 67 78 94 134 141 201 282 402 611 643 871 1222 1286 1742 1833 1929 2613 3149 3666 3858 5226 6298 8359 9447 16718 18894 25077 30221 40937 43081 50154 60442 81874 86162 90663 122811 129243 181326 245622 258486 392873 560053 785746 1120106 1178619 1680159 2024807 2357238 3360318 4049614 6074421 12148842 26322491 52644982 78967473 157934946