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157148672 = 29319901
BaseRepresentation
bin10010101110111…
…10011000000000
3101221200222110012
421113132120000
5310212224142
623332124052
73615512252
oct1127363000
9357628405
10157148672
118078513a
1244766628
13267329a5
1416c29cd2
15dbe2882
hex95de600

157148672 has 40 divisors (see below), whose sum is σ = 324151872. Its totient is φ = 76032000.

The previous prime is 157148647. The next prime is 157148687. The reversal of 157148672 is 276841751.

It is a super-2 number, since 2×1571486722 = 49391410222727168, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10922 + ... + 20822.

Almost surely, 2157148672 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 157148672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162075936).

157148672 is an abundant number, since it is smaller than the sum of its proper divisors (167003200).

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

157148672 is an frugal number, since it uses more digits than its factorization.

157148672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9950 (or 9934 counting only the distinct ones).

The product of its digits is 94080, while the sum is 41.

The square root of 157148672 is about 12535.8953409798. The cubic root of 157148672 is about 539.6393018745.

The spelling of 157148672 in words is "one hundred fifty-seven million, one hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 256 496 512 992 1984 3968 7936 9901 15872 19802 39604 79208 158416 306931 316832 613862 633664 1227724 1267328 2455448 2534656 4910896 5069312 9821792 19643584 39287168 78574336 157148672