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164494496 = 2529177257
BaseRepresentation
bin10011100110111…
…11110010100000
3102110112012000202
421303133302200
5314102310441
624153404332
74035115535
oct1163376240
9373465022
10164494496
1184942171
12471096a8
132810542a
1417bbcd8c
15e69419b
hex9cdfca0

164494496 has 24 divisors (see below), whose sum is σ = 335017620. Its totient is φ = 79410688.

The previous prime is 164494493. The next prime is 164494507. The reversal of 164494496 is 694494461.

It can be written as a sum of positive squares in 2 ways, for example, as 140090896 + 24403600 = 11836^2 + 4940^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 164494496.

It is not an unprimeable number, because it can be changed into a prime (164494493) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 87701 + ... + 89556.

Almost surely, 2164494496 is an apocalyptic number.

164494496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164494496 is an abundant number, since it is smaller than the sum of its proper divisors (170523124).

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

164494496 is a wasteful number, since it uses less digits than its factorization.

164494496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177296 (or 177288 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 164494496 is about 12825.5407683263. The cubic root of 164494496 is about 547.9199627368.

The spelling of 164494496 in words is "one hundred sixty-four million, four hundred ninety-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 177257 354514 709028 1418056 2836112 5140453 5672224 10280906 20561812 41123624 82247248 164494496