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157428744 = 233112232357
BaseRepresentation
bin10010110001000…
…10110000001000
3101222020012122020
421120202300020
5310300204434
623342124440
73621056634
oct1130426010
9358205566
10157428744
1180956600
1244880720
1326800305
1416c9ddc4
15dc4a849
hex9622c08

157428744 has 96 divisors (see below), whose sum is σ = 451604160. Its totient is φ = 45612160.

The previous prime is 157428743. The next prime is 157428773. The reversal of 157428744 is 447824751.

It is a junction number, because it is equal to n+sod(n) for n = 157428696 and 157428705.

It is not an unprimeable number, because it can be changed into a prime (157428743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65614 + ... + 67970.

It is an arithmetic number, because the mean of its divisors is an integer number (4704210).

Almost surely, 2157428744 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 157428744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225802080).

157428744 is an abundant number, since it is smaller than the sum of its proper divisors (294175416).

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

157428744 is a wasteful number, since it uses less digits than its factorization.

157428744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2396 counting only the distinct ones).

The product of its digits is 250880, while the sum is 42.

The square root of 157428744 is about 12547.0611698517. The cubic root of 157428744 is about 539.9596952085.

The spelling of 157428744 in words is "one hundred fifty-seven million, four hundred twenty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 121 132 138 184 242 253 264 276 363 484 506 552 726 759 968 1012 1452 1518 2024 2357 2783 2904 3036 4714 5566 6072 7071 8349 9428 11132 14142 16698 18856 22264 25927 28284 33396 51854 54211 56568 66792 77781 103708 108422 155562 162633 207416 216844 285197 311124 325266 433688 570394 596321 622248 650532 855591 1140788 1192642 1301064 1711182 1788963 2281576 2385284 3422364 3577926 4770568 6559531 6844728 7155852 13119062 14311704 19678593 26238124 39357186 52476248 78714372 157428744