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402400049 = 3787712401
BaseRepresentation
bin10111111111000…
…010001100110001
31001001012001002112
4113333002030301
51311003300144
6103532455105
712654225662
oct2777021461
91031161075
10402400049
11197165127
12b291a495
13654a1b4c
143b62b369
15254d999e
hex17fc2331

402400049 has 8 divisors (see below), whose sum is σ = 413780328. Its totient is φ = 391046400.

The previous prime is 402400039. The next prime is 402400067. The reversal of 402400049 is 940004204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 185368225 + 217031824 = 13615^2 + 14732^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 402400049 - 28 = 402399793 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 402399997 and 402400033.

It is not an unprimeable number, because it can be changed into a prime (402400039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26249 + ... + 38649.

It is an arithmetic number, because the mean of its divisors is an integer number (51722541).

Almost surely, 2402400049 is an apocalyptic number.

It is an amenable number.

402400049 is a deficient number, since it is larger than the sum of its proper divisors (11380279).

402400049 is a wasteful number, since it uses less digits than its factorization.

402400049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13315.

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 402400049 is about 20059.9114903332. The cubic root of 402400049 is about 738.2770048538.

The spelling of 402400049 in words is "four hundred two million, four hundred thousand, forty-nine".

Divisors: 1 37 877 12401 32449 458837 10875677 402400049