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157627932 = 223711315503
BaseRepresentation
bin10010110010100…
…11011000011100
3101222121022212120
421121103120130
5310323043212
623350302540
73622546440
oct1131233034
9358538776
10157627932
1180a82220
1244957a50
132686cb87
1416d12820
15dc8988c
hex965361c

157627932 has 96 divisors (see below), whose sum is σ = 473432064. Its totient is φ = 39614400.

The previous prime is 157627931. The next prime is 157627949. The reversal of 157627932 is 239726751.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157627931) 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 31 ways as a sum of consecutive naturals, for example, 25893 + ... + 31395.

It is an arithmetic number, because the mean of its divisors is an integer number (4931584).

Almost surely, 2157627932 is an apocalyptic number.

157627932 is a gapful number since it is divisible by the number (12) 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 157627932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236716032).

157627932 is an abundant number, since it is smaller than the sum of its proper divisors (315804132).

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

157627932 is a wasteful number, since it uses less digits than its factorization.

157627932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5559 (or 5557 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 157627932 is about 12554.9962962958. The cubic root of 157627932 is about 540.1873286972.

The spelling of 157627932 in words is "one hundred fifty-seven million, six hundred twenty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 77 84 93 124 132 154 186 217 231 308 341 372 434 462 651 682 868 924 1023 1302 1364 2046 2387 2604 4092 4774 5503 7161 9548 11006 14322 16509 22012 28644 33018 38521 60533 66036 77042 115563 121066 154084 170593 181599 231126 242132 341186 363198 423731 462252 511779 682372 726396 847462 1023558 1194151 1271193 1694924 1876523 2047116 2388302 2542386 3582453 3753046 4776604 5084772 5629569 7164906 7506092 11259138 13135661 14329812 22518276 26271322 39406983 52542644 78813966 157627932