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406463825 = 52113143881
BaseRepresentation
bin11000001110100…
…010010101010001
31001022211111112202
4120032202111101
51313023320300
6104155532545
713033612505
oct3016422521
91038744482
10406463825
11199490319
12b415a155
1366295751
143bda8305
1525a3dad5
hex183a2551

406463825 has 12 divisors (see below), whose sum is σ = 508478988. Its totient is φ = 322291200.

The previous prime is 406463819. The next prime is 406463831. The reversal of 406463825 is 528364604.

It is an interprime number because it is at equal distance from previous prime (406463819) and next prime (406463831).

It can be written as a sum of positive squares in 6 ways, for example, as 166306816 + 240157009 = 12896^2 + 15497^2 .

It is a de Polignac number, because none of the positive numbers 2k-406463825 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 69116 + ... + 74765.

It is an arithmetic number, because the mean of its divisors is an integer number (42373249).

Almost surely, 2406463825 is an apocalyptic number.

It is an amenable number.

406463825 is a deficient number, since it is larger than the sum of its proper divisors (102015163).

406463825 is a wasteful number, since it uses less digits than its factorization.

406463825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144004 (or 143999 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 406463825 is about 20160.9480183845. The cubic root of 406463825 is about 740.7539339463.

The spelling of 406463825 in words is "four hundred six million, four hundred sixty-three thousand, eight hundred twenty-five".

Divisors: 1 5 25 113 565 2825 143881 719405 3597025 16258553 81292765 406463825