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163255456 = 2572138009
BaseRepresentation
bin10011011101100…
…01010010100000
3102101012020101101
421232301102200
5313243133311
624111044144
74021435300
oct1156612240
9371166341
10163255456
1184176271
1246810654
1327a90480
1417979600
15e4ebec1
hex9bb14a0

163255456 has 72 divisors (see below), whose sum is σ = 402694740. Its totient is φ = 64576512.

The previous prime is 163255451. The next prime is 163255493. The reversal of 163255456 is 654552361.

It can be written as a sum of positive squares in 2 ways, for example, as 160883856 + 2371600 = 12684^2 + 1540^2 .

It is a super-3 number, since 3×1632554563 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (163255451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16380 + ... + 24388.

Almost surely, 2163255456 is an apocalyptic number.

163255456 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 163255456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201347370).

163255456 is an abundant number, since it is smaller than the sum of its proper divisors (239439284).

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

163255456 is a wasteful number, since it uses less digits than its factorization.

163255456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8031 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 163255456 is about 12777.1458471757. The cubic root of 163255456 is about 546.5407747650.

The spelling of 163255456 in words is "one hundred sixty-three million, two hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 91 98 104 112 182 196 208 224 364 392 416 637 728 784 1274 1456 1568 2548 2912 5096 8009 10192 16018 20384 32036 56063 64072 104117 112126 128144 208234 224252 256288 392441 416468 448504 728819 784882 832936 897008 1457638 1569764 1665872 1794016 2915276 3139528 3331744 5101733 5830552 6279056 10203466 11661104 12558112 20406932 23322208 40813864 81627728 163255456