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163231264 = 2572393049
BaseRepresentation
bin10011011101010…
…11011000100000
3102101011000012101
421232223120200
5313241400024
624110340144
74021304620
oct1156533040
9371130171
10163231264
118415a079
12467ba654
1327a82461
1417970880
15e4e4c44
hex9bab620

163231264 has 48 divisors (see below), whose sum is σ = 368928000. Its totient is φ = 69640704.

The previous prime is 163231259. The next prime is 163231273. The reversal of 163231264 is 462132361.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 52012 + ... + 55060.

It is an arithmetic number, because the mean of its divisors is an integer number (7686000).

Almost surely, 2163231264 is an apocalyptic number.

163231264 is a gapful number since it is divisible by the number (14) 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 163231264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184464000).

163231264 is an abundant number, since it is smaller than the sum of its proper divisors (205696736).

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

163231264 is a wasteful number, since it uses less digits than its factorization.

163231264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3297 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 163231264 is about 12776.1991218046. The cubic root of 163231264 is about 546.5137770607.

It can be divided in two parts, 1632 and 31264, that added together give a triangular number (32896 = T256).

The spelling of 163231264 in words is "one hundred sixty-three million, two hundred thirty-one thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 239 478 956 1673 1912 3049 3346 3824 6098 6692 7648 12196 13384 21343 24392 26768 42686 48784 53536 85372 97568 170744 341488 682976 728711 1457422 2914844 5100977 5829688 10201954 11659376 20403908 23318752 40807816 81615632 163231264