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163256416 = 2531199827
BaseRepresentation
bin10011011101100…
…01100001100000
3102101012021200221
421232301201200
5313243201131
624111052424
74021441141
oct1156614140
9371167627
10163256416
1184176a64
1246811114
1327a90a3b
1417979ac8
15e4ec411
hex9bb1860

163256416 has 48 divisors (see below), whose sum is σ = 333849600. Its totient is φ = 78503040.

The previous prime is 163256407. The next prime is 163256437. The reversal of 163256416 is 614652361.

163256416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 196995 + ... + 197821.

It is an arithmetic number, because the mean of its divisors is an integer number (6955200).

Almost surely, 2163256416 is an apocalyptic number.

163256416 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 163256416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166924800).

163256416 is an abundant number, since it is smaller than the sum of its proper divisors (170593184).

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

163256416 is a wasteful number, since it uses less digits than its factorization.

163256416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1059 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 163256416 is about 12777.1834141958. The cubic root of 163256416 is about 546.5418460474.

The spelling of 163256416 in words is "one hundred sixty-three million, two hundred fifty-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 31 32 62 124 199 248 398 496 796 827 992 1592 1654 3184 3308 6169 6368 6616 12338 13232 24676 25637 26464 49352 51274 98704 102548 164573 197408 205096 329146 410192 658292 820384 1316584 2633168 5101763 5266336 10203526 20407052 40814104 81628208 163256416