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157645728 = 25323071783
BaseRepresentation
bin10010110010101…
…11101110100000
3101222122020021200
421121113232200
5310324130403
623350521200
73622652352
oct1131275640
9358566250
10157645728
1180a94629
1244966200
1326877cc6
1416d190d2
15dc8eca3
hex9657ba0

157645728 has 72 divisors (see below), whose sum is σ = 450017568. Its totient is φ = 52348032.

The previous prime is 157645727. The next prime is 157645753. The reversal of 157645728 is 827546751.

157645728 is a `hidden beast` number, since 1 + 5 + 76 + 4 + 572 + 8 = 666.

157645728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (157645721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87525 + ... + 89307.

It is an arithmetic number, because the mean of its divisors is an integer number (6250244).

Almost surely, 2157645728 is an apocalyptic number.

157645728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 157645728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225008784).

157645728 is an abundant number, since it is smaller than the sum of its proper divisors (292371840).

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

157645728 is a wasteful number, since it uses less digits than its factorization.

157645728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 2095 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 157645728 is about 12555.7049981273. The cubic root of 157645728 is about 540.2076567610.

The spelling of 157645728 in words is "one hundred fifty-seven million, six hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1783 1842 2456 2763 3566 3684 4912 5349 5526 7132 7368 9824 10698 11052 14264 14736 16047 21396 22104 28528 29472 32094 42792 44208 57056 64188 85584 88416 128376 171168 256752 513504 547381 1094762 1642143 2189524 3284286 4379048 4926429 6568572 8758096 9852858 13137144 17516192 19705716 26274288 39411432 52548576 78822864 157645728