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413332731 = 3278777481
BaseRepresentation
bin11000101000101…
…111010011111011
31001210202110220200
4120220233103323
51321303121411
6105003053243
713146161460
oct3050572373
91053673820
10413332731
111a2351aa9
12b6511223
136782c0a6
143cc75667
1526448e56
hex18a2f4fb

413332731 has 24 divisors (see below), whose sum is σ = 683196384. Its totient is φ = 235889280.

The previous prime is 413332729. The next prime is 413332739. The reversal of 413332731 is 137233314.

It is not a de Polignac number, because 413332731 - 21 = 413332729 is a prime.

It is a super-2 number, since 2×4133327312 = 341687893031836722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 413332695 and 413332704.

It is not an unprimeable number, because it can be changed into a prime (413332739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51511 + ... + 58991.

It is an arithmetic number, because the mean of its divisors is an integer number (28466516).

Almost surely, 2413332731 is an apocalyptic number.

413332731 is a deficient number, since it is larger than the sum of its proper divisors (269863653).

413332731 is a wasteful number, since it uses less digits than its factorization.

413332731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8371 (or 8368 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 413332731 is about 20330.5860958311. The cubic root of 413332731 is about 744.9033587839.

It can be divided in two parts, 4133 and 32731, that added together give a square (36864 = 1922).

The spelling of 413332731 in words is "four hundred thirteen million, three hundred thirty-two thousand, seven hundred thirty-one".

Divisors: 1 3 7 9 21 63 877 2631 6139 7481 7893 18417 22443 52367 55251 67329 157101 471303 6560837 19682511 45925859 59047533 137777577 413332731