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402664405 = 51121351197
BaseRepresentation
bin11000000000000…
…010101111010101
31001001200110201111
4120000002233111
51311040230110
6103542255021
712656406463
oct3000025725
91031613644
10402664405
11197325800
12b2a27471
1365565280
143b699833
152553ce8a
hex18002bd5

402664405 has 24 divisors (see below), whose sum is σ = 571984056. Its totient is φ = 270314880.

The previous prime is 402664319. The next prime is 402664417. The reversal of 402664405 is 504466204.

It can be written as a sum of positive squares in 4 ways, for example, as 82755409 + 319908996 = 9097^2 + 17886^2 .

It is not a de Polignac number, because 402664405 - 29 = 402663893 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17734 + ... + 33463.

It is an arithmetic number, because the mean of its divisors is an integer number (23832669).

Almost surely, 2402664405 is an apocalyptic number.

It is an amenable number.

402664405 is a deficient number, since it is larger than the sum of its proper divisors (169319651).

402664405 is a wasteful number, since it uses less digits than its factorization.

402664405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51237 (or 51226 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 402664405 is about 20066.4995701791. The cubic root of 402664405 is about 738.4386393877.

The spelling of 402664405 in words is "four hundred two million, six hundred sixty-four thousand, four hundred five".

Divisors: 1 5 11 13 55 65 121 143 605 715 1573 7865 51197 255985 563167 665561 2815835 3327805 6194837 7321171 30974185 36605855 80532881 402664405