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413264832 = 26317126613
BaseRepresentation
bin11000101000011…
…110101111000000
31001210122000202220
4120220132233000
51321243433312
6105001411040
713145456511
oct3050365700
91053560686
10413264832
111a2305a92
12b6499a80
1367807206
143cc58a08
1526433c8c
hex18a1ebc0

413264832 has 56 divisors (see below), whose sum is σ = 1157758416. Its totient is φ = 129650688.

The previous prime is 413264771. The next prime is 413264837. The reversal of 413264832 is 238462314.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413264793 and 413264802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413264837) by changing a digit.

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, 60043 + ... + 66570.

Almost surely, 2413264832 is an apocalyptic number.

It is an amenable number.

413264832 is an abundant number, since it is smaller than the sum of its proper divisors (744493584).

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

413264832 is a wasteful number, since it uses less digits than its factorization.

413264832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126645 (or 126635 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 413264832 is about 20328.9161540895. The cubic root of 413264832 is about 744.8625676253.

The spelling of 413264832 in words is "four hundred thirteen million, two hundred sixty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 126613 253226 379839 506452 759678 1012904 1519356 2025808 2152421 3038712 4051616 4304842 6077424 6457263 8103232 8609684 12154848 12914526 17219368 24309696 25829052 34438736 51658104 68877472 103316208 137754944 206632416 413264832