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157533712 = 24719181409
BaseRepresentation
bin10010110001111…
…00011000010000
3101222102112121221
421120330120100
5310312034322
623344254424
73622004650
oct1130743020
9358375557
10157533712
1180a18456
1244911414
132683901b
1416cca360
15dc6b9c7
hex963c610

157533712 has 80 divisors (see below), whose sum is σ = 370115200. Its totient is φ = 63452160.

The previous prime is 157533703. The next prime is 157533749. The reversal of 157533712 is 217335751.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 384964 + ... + 385372.

It is an arithmetic number, because the mean of its divisors is an integer number (4626440).

Almost surely, 2157533712 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 157533712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185057600).

157533712 is an abundant number, since it is smaller than the sum of its proper divisors (212581488).

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

157533712 is a wasteful number, since it uses less digits than its factorization.

157533712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 618 counting only the distinct ones).

The product of its digits is 22050, while the sum is 34.

The square root of 157533712 is about 12551.2434443763. The cubic root of 157533712 is about 540.0796773148.

The spelling of 157533712 in words is "one hundred fifty-seven million, five hundred thirty-three thousand, seven hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 181 266 304 362 409 532 724 818 1064 1267 1448 1636 2128 2534 2863 2896 3272 3439 5068 5726 6544 6878 7771 10136 11452 13756 15542 20272 22904 24073 27512 31084 45808 48146 54397 55024 62168 74029 96292 108794 124336 148058 192584 217588 296116 385168 435176 518203 592232 870352 1036406 1184464 1406551 2072812 2813102 4145624 5626204 8291248 9845857 11252408 19691714 22504816 39383428 78766856 157533712