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413172432 = 24322869253
BaseRepresentation
bin11000101000001…
…000001011010000
31001210110100000200
4120220020023100
51321233004212
6104555415200
713144623231
oct3050101320
91053410020
10413172432
111a2252622
12b6454500
13677a413a
143cc33088
15264166dc
hex18a082d0

413172432 has 30 divisors (see below), whose sum is σ = 1156309362. Its totient is φ = 137724096.

The previous prime is 413172427. The next prime is 413172479. The reversal of 413172432 is 234271314.

It is a happy number.

413172432 is a `hidden beast` number, since 413 + 1 + 7 + 243 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 398241936 + 14930496 = 19956^2 + 3864^2 .

It is a super-2 number, since 2×4131724322 = 341422917129589248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413172396 and 413172405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1434483 + ... + 1434770.

Almost surely, 2413172432 is an apocalyptic number.

It is an amenable number.

413172432 is an abundant number, since it is smaller than the sum of its proper divisors (743136930).

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

413172432 is a wasteful number, since it uses less digits than its factorization.

413172432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869267 (or 2869258 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 413172432 is about 20326.6434021951. The cubic root of 413172432 is about 744.8070500120.

The spelling of 413172432 in words is "four hundred thirteen million, one hundred seventy-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2869253 5738506 8607759 11477012 17215518 22954024 25823277 34431036 45908048 51646554 68862072 103293108 137724144 206586216 413172432