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402243136 = 262321092
BaseRepresentation
bin10111111110011…
…011111001000000
31001000220001211221
4113332123321000
51310433240021
6103525244424
712653003341
oct2776337100
91030801757
10402243136
11197068249
12b2863714
13654485b9
143b5ca0c8
15254a8241
hex17f9be40

402243136 has 63 divisors (see below), whose sum is σ = 842139921. Its totient is φ = 190612224.

The previous prime is 402243133. The next prime is 402243139. The reversal of 402243136 is 631342204.

The square root of 402243136 is 20056.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (402243133) and next prime (402243139).

It can be written as a sum of positive squares in only one way, i.e., 280361536 + 121881600 = 16744^2 + 11040^2 .

It is a super-2 number, since 2×4022431362 = 323599080918228992, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 402243136.

It is not an unprimeable number, because it can be changed into a prime (402243133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3690250 + ... + 3690358.

Almost surely, 2402243136 is an apocalyptic number.

402243136 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

402243136 is the 20056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402243136

402243136 is an abundant number, since it is smaller than the sum of its proper divisors (439896785).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

402243136 is an equidigital number, since it uses as much as digits as its factorization.

402243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The cubic root of 402243136 is about 738.1810304448.

Multiplying 402243136 by its sum of digits (25), we get a square (10056078400 = 1002802).

The spelling of 402243136 in words is "four hundred two million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 109 184 218 368 436 529 736 872 1058 1472 1744 2116 2507 3488 4232 5014 6976 8464 10028 11881 16928 20056 23762 33856 40112 47524 57661 80224 95048 115322 160448 190096 230644 273263 380192 461288 546526 760384 922576 1093052 1845152 2186104 3690304 4372208 6285049 8744416 12570098 17488832 25140196 50280392 100560784 201121568 402243136