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157785856 = 28718681
BaseRepresentation
bin10010110011110…
…01111100000000
3101222220100111121
421121321330000
5310343121411
623353522024
73624105034
oct1131717400
9358810447
10157785856
118107a938
1244a13314
13268c6a17
1416d541c4
15dcbb571
hex9679f00

157785856 has 36 divisors (see below), whose sum is σ = 319428144. Its totient is φ = 77772800.

The previous prime is 157785853. The next prime is 157785863. The reversal of 157785856 is 658587751.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157785853) 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 3 ways as a sum of consecutive naturals, for example, 13836 + ... + 22516.

It is an arithmetic number, because the mean of its divisors is an integer number (8873004).

Almost surely, 2157785856 is an apocalyptic number.

157785856 is a gapful number since it is divisible by the number (16) 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 157785856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159714072).

157785856 is an abundant number, since it is smaller than the sum of its proper divisors (161642288).

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

157785856 is an frugal number, since it uses more digits than its factorization.

157785856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8768 (or 8754 counting only the distinct ones).

The product of its digits is 2352000, while the sum is 52.

The square root of 157785856 is about 12561.2840108008. The cubic root of 157785856 is about 540.3676691332.

The spelling of 157785856 in words is "one hundred fifty-seven million, seven hundred eighty-five thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 256 284 568 1136 2272 4544 8681 9088 17362 18176 34724 69448 138896 277792 555584 616351 1111168 1232702 2222336 2465404 4930808 9861616 19723232 39446464 78892928 157785856