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402574393 = 1323764381
BaseRepresentation
bin10111111111101…
…100110000111001
31001001111220020201
4113333230300321
51311024340033
6103540322201
712655553164
oct2777546071
91031456221
10402574393
11197274111
12b29a3361
1365533300
143b674adb
152552147d
hex17fecc39

402574393 has 12 divisors (see below), whose sum is σ = 447712428. Its totient is φ = 361558080.

The previous prime is 402574357. The next prime is 402574409. The reversal of 402574393 is 393475204.

It can be written as a sum of positive squares in 6 ways, for example, as 451584 + 402122809 = 672^2 + 20053^2 .

It is a de Polignac number, because none of the positive numbers 2k-402574393 is a prime.

It is a super-2 number, since 2×4025743932 = 324132283798636898, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402574993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25938 + ... + 38443.

It is an arithmetic number, because the mean of its divisors is an integer number (37309369).

Almost surely, 2402574393 is an apocalyptic number.

It is an amenable number.

402574393 is a deficient number, since it is larger than the sum of its proper divisors (45138035).

402574393 is a wasteful number, since it uses less digits than its factorization.

402574393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64444 (or 64431 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 402574393 is about 20064.2566022268. The cubic root of 402574393 is about 738.3836115188.

The spelling of 402574393 in words is "four hundred two million, five hundred seventy-four thousand, three hundred ninety-three".

Divisors: 1 13 37 169 481 6253 64381 836953 2382097 10880389 30967261 402574393