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172465664 = 29748121
BaseRepresentation
bin10100100011110…
…01111000000000
3110000112011102012
422101321320000
5323122400124
625040312052
74162635230
oct1221717000
9400464365
10172465664
1189397008
1249912628
13299666b7
1418c95cc0
151021ae0e
hexa479e00

172465664 has 40 divisors (see below), whose sum is σ = 393830448. Its totient is φ = 73912320.

The previous prime is 172465637. The next prime is 172465723. The reversal of 172465664 is 466564271.

It is a happy number.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20477 + ... + 27644.

Almost surely, 2172465664 is an apocalyptic number.

172465664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

172465664 is an abundant number, since it is smaller than the sum of its proper divisors (221364784).

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

172465664 is an frugal number, since it uses more digits than its factorization.

172465664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48146 (or 48130 counting only the distinct ones).

The product of its digits is 241920, while the sum is 41.

The square root of 172465664 is about 13132.6183223301. The cubic root of 172465664 is about 556.6312035129.

The spelling of 172465664 in words is "one hundred seventy-two million, four hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1792 3584 48121 96242 192484 336847 384968 673694 769936 1347388 1539872 2694776 3079744 5389552 6159488 10779104 12318976 21558208 24637952 43116416 86232832 172465664