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413942765 = 5414094937
BaseRepresentation
bin11000101011000…
…100001111101101
31001211220110201112
4120223010033231
51321432132030
6105024121405
713154312135
oct3053041755
91054813645
10413942765
111a2729365
12b6766265
13679b3962
143cd93ac5
1526519a95
hex18ac43ed

413942765 has 16 divisors (see below), whose sum is σ = 510194160. Its totient is φ = 322222080.

The previous prime is 413942701. The next prime is 413942803. The reversal of 413942765 is 567249314.

413942765 = 143862 + 143872.

It can be written as a sum of positive squares in 8 ways, for example, as 8282884 + 405659881 = 2878^2 + 20141^2 .

It is not a de Polignac number, because 413942765 - 26 = 413942701 is a prime.

It is a super-2 number, since 2×4139427652 = 342697225391690450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81377 + ... + 86313.

It is an arithmetic number, because the mean of its divisors is an integer number (31887135).

Almost surely, 2413942765 is an apocalyptic number.

413942765 is the 14387-th centered square number.

It is an amenable number.

413942765 is a deficient number, since it is larger than the sum of its proper divisors (96251395).

413942765 is a wasteful number, since it uses less digits than its factorization.

413942765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392.

The product of its digits is 181440, while the sum is 41.

The square root of 413942765 is about 20345.5834273682. The cubic root of 413942765 is about 745.2696439970.

The spelling of 413942765 in words is "four hundred thirteen million, nine hundred forty-two thousand, seven hundred sixty-five".

Divisors: 1 5 41 205 409 2045 4937 16769 24685 83845 202417 1012085 2019233 10096165 82788553 413942765