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157784652 = 22331638963
BaseRepresentation
bin10010110011110…
…01101001001100
3101222220021212000
421121321221030
5310343102102
623353512300
73624101364
oct1131715114
9358807760
10157784652
1181079a43
1244a12690
13268c62cc
1416d539a4
15dcbb01c
hex9679a4c

157784652 has 48 divisors (see below), whose sum is σ = 411626880. Its totient is φ = 52266384.

The previous prime is 157784647. The next prime is 157784663. The reversal of 157784652 is 256487751.

157784652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1577846522 = 49791992813522208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 157784598 and 157784607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13123 + ... + 22085.

It is an arithmetic number, because the mean of its divisors is an integer number (8575560).

Almost surely, 2157784652 is an apocalyptic number.

157784652 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 157784652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205813440).

157784652 is an abundant number, since it is smaller than the sum of its proper divisors (253842228).

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

157784652 is a wasteful number, since it uses less digits than its factorization.

157784652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9139 (or 9131 counting only the distinct ones).

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

The square root of 157784652 is about 12561.2360856725. The cubic root of 157784652 is about 540.3662946874.

The spelling of 157784652 in words is "one hundred fifty-seven million, seven hundred eighty-four thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 163 326 489 652 978 1467 1956 2934 4401 5868 8802 8963 17604 17926 26889 35852 53778 80667 107556 161334 242001 322668 484002 968004 1460969 2921938 4382907 5843876 8765814 13148721 17531628 26297442 39446163 52594884 78892326 157784652