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157544268 = 2237103131139
BaseRepresentation
bin10010110001111…
…10111101001100
3101222110002002220
421120332331030
5310312404033
623344415340
73622050510
oct1130767514
9358402086
10157544268
1180a25382
1244917550
1326840a7b
1416cd0140
15dc6ebb3
hex963ef4c

157544268 has 96 divisors (see below), whose sum is σ = 430510080. Its totient is φ = 43917120.

The previous prime is 157544239. The next prime is 157544291. The reversal of 157544268 is 862445751.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1133343 + ... + 1133481.

It is an arithmetic number, because the mean of its divisors is an integer number (4484480).

Almost surely, 2157544268 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 157544268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215255040).

157544268 is an abundant number, since it is smaller than the sum of its proper divisors (272965812).

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

157544268 is a wasteful number, since it uses less digits than its factorization.

157544268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 385 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 157544268 is about 12551.6639534366. The cubic root of 157544268 is about 540.0917402433.

The spelling of 157544268 in words is "one hundred fifty-seven million, five hundred forty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 103 131 139 206 262 278 309 393 412 417 524 556 618 721 786 834 917 973 1236 1442 1572 1668 1834 1946 2163 2751 2884 2919 3668 3892 4326 5502 5838 8652 11004 11676 13493 14317 18209 26986 28634 36418 40479 42951 53972 54627 57268 72836 80958 85902 94451 100219 109254 127463 161916 171804 188902 200438 218508 254926 283353 300657 377804 382389 400876 509852 566706 601314 764778 1133412 1202628 1529556 1875527 3751054 5626581 7502108 11253162 13128689 22506324 26257378 39386067 52514756 78772134 157544268