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406142925 = 35241269491
BaseRepresentation
bin11000001101010…
…011111111001101
31001022020012100120
4120031103333031
51312433033200
6104145015153
713031105106
oct3015237715
91038205316
10406142925
11199291211
12b40244b9
13661b2676
143bd233ad
15259c89a0
hex18353fcd

406142925 has 48 divisors (see below), whose sum is σ = 691830720. Its totient is φ = 210112000.

The previous prime is 406142923. The next prime is 406142927. The reversal of 406142925 is 529241604.

It is an interprime number because it is at equal distance from previous prime (406142923) and next prime (406142927).

It is not a de Polignac number, because 406142925 - 21 = 406142923 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406142921) 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 47 ways as a sum of consecutive naturals, for example, 826930 + ... + 827420.

It is an arithmetic number, because the mean of its divisors is an integer number (14413140).

Almost surely, 2406142925 is an apocalyptic number.

It is an amenable number.

406142925 is a deficient number, since it is larger than the sum of its proper divisors (285687795).

406142925 is a wasteful number, since it uses less digits than its factorization.

406142925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 406142925 is about 20152.9879918587. The cubic root of 406142925 is about 740.5589428168.

The spelling of 406142925 in words is "four hundred six million, one hundred forty-two thousand, nine hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 205 269 491 615 807 1025 1345 1473 2455 3075 4035 6725 7365 11029 12275 20131 20175 33087 36825 55145 60393 100655 132079 165435 275725 301965 396237 503275 660395 827175 1509825 1981185 3301975 5415239 9905925 16245717 27076195 81228585 135380975 406142925