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157095952 = 241319127313
BaseRepresentation
bin10010101110100…
…01100000010000
3101221121022010121
421113101200100
5310204032302
623331040024
73615202456
oct1127214020
9357538117
10157095952
1180749572
1244740014
13267149b0
1416c149d6
15dbd1e37
hex95d1810

157095952 has 80 divisors (see below), whose sum is σ = 348866560. Its totient is φ = 67931136.

The previous prime is 157095931. The next prime is 157095959. The reversal of 157095952 is 259590751.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 157095899 and 157095908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157095959) 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, 501748 + ... + 502060.

It is an arithmetic number, because the mean of its divisors is an integer number (4360832).

Almost surely, 2157095952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157095952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174433280).

157095952 is an abundant number, since it is smaller than the sum of its proper divisors (191770608).

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

157095952 is a wasteful number, since it uses less digits than its factorization.

157095952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 43.

The square root of 157095952 is about 12533.7924029401. The cubic root of 157095952 is about 539.5789493314.

The spelling of 157095952 in words is "one hundred fifty-seven million, ninety-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 127 152 208 247 254 304 313 494 508 626 988 1016 1252 1651 1976 2032 2413 2504 3302 3952 4069 4826 5008 5947 6604 8138 9652 11894 13208 16276 19304 23788 26416 31369 32552 38608 39751 47576 62738 65104 77311 79502 95152 125476 154622 159004 250952 309244 318008 501904 516763 618488 636016 755269 1033526 1236976 1510538 2067052 3021076 4134104 6042152 8268208 9818497 12084304 19636994 39273988 78547976 157095952