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157644828 = 2232112571549
BaseRepresentation
bin10010110010101…
…11100000011100
3101222122012001100
421121113200130
5310324113303
623350513100
73622646625
oct1131274034
9358565040
10157644828
1180a93990
1244965790
1326877783
1416d18a4c
15dc8e8a3
hex965781c

157644828 has 72 divisors (see below), whose sum is σ = 436690800. Its totient is φ = 47554560.

The previous prime is 157644821. The next prime is 157644833. The reversal of 157644828 is 828446751.

157644828 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157644821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100998 + ... + 102546.

It is an arithmetic number, because the mean of its divisors is an integer number (6065150).

Almost surely, 2157644828 is an apocalyptic number.

157644828 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 157644828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218345400).

157644828 is an abundant number, since it is smaller than the sum of its proper divisors (279045972).

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

157644828 is a wasteful number, since it uses less digits than its factorization.

157644828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1822 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 157644828 is about 12555.6691577948. The cubic root of 157644828 is about 540.2066287432.

The spelling of 157644828 in words is "one hundred fifty-seven million, six hundred forty-four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 257 396 514 771 1028 1542 1549 2313 2827 3084 3098 4626 4647 5654 6196 8481 9252 9294 11308 13941 16962 17039 18588 25443 27882 33924 34078 50886 51117 55764 68156 101772 102234 153351 204468 306702 398093 613404 796186 1194279 1592372 2388558 3582837 4379023 4777116 7165674 8758046 13137069 14331348 17516092 26274138 39411207 52548276 78822414 157644828