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416525641 = 73110717939
BaseRepresentation
bin11000110100111…
…010110101001001
31002000202200202121
4120310322311021
51323112310031
6105155331241
713215260320
oct3064726511
91060680677
10416525641
111a4132974
12b75b0b21
13683a949c
143d4670b7
152687a011
hex18d3ad49

416525641 has 16 divisors (see below), whose sum is σ = 496005120. Its totient is φ = 342257040.

The previous prime is 416525617. The next prime is 416525647. The reversal of 416525641 is 146525614.

It is a cyclic number.

It is not a de Polignac number, because 416525641 - 27 = 416525513 is a prime.

It is a super-2 number, since 2×4165256412 = 346987219220921762, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 416525597 and 416525606.

It is not an unprimeable number, because it can be changed into a prime (416525647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14250 + ... + 32188.

It is an arithmetic number, because the mean of its divisors is an integer number (31000320).

Almost surely, 2416525641 is an apocalyptic number.

It is an amenable number.

416525641 is a deficient number, since it is larger than the sum of its proper divisors (79479479).

416525641 is a wasteful number, since it uses less digits than its factorization.

416525641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18084.

The product of its digits is 28800, while the sum is 34.

The square root of 416525641 is about 20408.9598216078. The cubic root of 416525641 is about 746.8165158386.

The spelling of 416525641 in words is "four hundred sixteen million, five hundred twenty-five thousand, six hundred forty-one".

Divisors: 1 7 31 107 217 749 3317 17939 23219 125573 556109 1919473 3892763 13436311 59503663 416525641