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400625001 = 3378772417
BaseRepresentation
bin10111111000010…
…000110101101001
31000220211212012000
4113320100311221
51310030000001
6103430441213
712633153630
oct2770206551
91026755160
10400625001
11196162547
12b2203209
1364cccc1a
143b2c8517
1525288a86
hex17e10d69

400625001 has 32 divisors (see below), whose sum is σ = 679361280. Its totient is φ = 228572928.

The previous prime is 400624993. The next prime is 400625041. The reversal of 400625001 is 100526004.

It is a happy number.

400625001 is a `hidden beast` number, since 40 + 0 + 625 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 400625001 - 23 = 400624993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400625041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164545 + ... + 166961.

It is an arithmetic number, because the mean of its divisors is an integer number (21230040).

Almost surely, 2400625001 is an apocalyptic number.

It is an amenable number.

400625001 is a deficient number, since it is larger than the sum of its proper divisors (278736279).

400625001 is a wasteful number, since it uses less digits than its factorization.

400625001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 400625001 is about 20015.6189262286. The cubic root of 400625001 is about 737.1898539244.

The spelling of 400625001 in words is "four hundred million, six hundred twenty-five thousand, one".

Divisors: 1 3 7 9 21 27 63 189 877 2417 2631 6139 7251 7893 16919 18417 21753 23679 50757 55251 65259 152271 165753 456813 2119709 6359127 14837963 19077381 44513889 57232143 133541667 400625001