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413288172 = 2232111043657
BaseRepresentation
bin11000101000100…
…100011011101100
31001210200012210100
4120220210123230
51321300210142
6105002111100
713145614533
oct3050443354
91053605710
10413288172
111a2321580
12b64ab490
1367814a1b
143cc6331a
152643ab4c
hex18a246ec

413288172 has 36 divisors (see below), whose sum is σ = 1139674536. Its totient is φ = 125238720.

The previous prime is 413288137. The next prime is 413288189. The reversal of 413288172 is 271882314.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4132881722 = 341614226230203168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 521433 + ... + 522224.

It is an arithmetic number, because the mean of its divisors is an integer number (31657626).

Almost surely, 2413288172 is an apocalyptic number.

It is an amenable number.

413288172 is an abundant number, since it is smaller than the sum of its proper divisors (726386364).

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

413288172 is a wasteful number, since it uses less digits than its factorization.

413288172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1043678 (or 1043673 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 413288172 is about 20329.4902051183. The cubic root of 413288172 is about 744.8765899210.

The spelling of 413288172 in words is "four hundred thirteen million, two hundred eighty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1043657 2087314 3130971 4174628 6261942 9392913 11480227 12523884 18785826 22960454 34440681 37571652 45920908 68881362 103322043 137762724 206644086 413288172