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402444196 = 2271117101761
BaseRepresentation
bin10111111111001…
…100111110100100
31001001021021122121
4113333030332210
51311011203241
6103533435324
712654501460
oct2777147644
91031237577
10402444196
11197195310
12b293bb44
13654b8c7b
143b63d4a0
15254e7ad1
hex17fccfa4

402444196 has 96 divisors (see below), whose sum is σ = 940149504. Its totient is φ = 145920000.

The previous prime is 402444193. The next prime is 402444239. The reversal of 402444196 is 691444204.

It is a super-2 number, since 2×4024441962 = 323922661788172832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (402444193) 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 31 ways as a sum of consecutive naturals, for example, 528456 + ... + 529216.

It is an arithmetic number, because the mean of its divisors is an integer number (9793224).

Almost surely, 2402444196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402444196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470074752).

402444196 is an abundant number, since it is smaller than the sum of its proper divisors (537705308).

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

402444196 is a wasteful number, since it uses less digits than its factorization.

402444196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 402444196 is about 20061.0118388879. The cubic root of 402444196 is about 738.3040024674.

The spelling of 402444196 in words is "four hundred two million, four hundred forty-four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 101 119 154 187 202 238 308 374 404 476 707 748 761 1111 1309 1414 1522 1717 2222 2618 2828 3044 3434 4444 5236 5327 6868 7777 8371 10654 12019 12937 15554 16742 18887 21308 24038 25874 31108 33484 37774 48076 51748 58597 75548 76861 90559 117194 132209 142307 153722 181118 234388 264418 284614 307444 362236 528836 538027 569228 845471 996149 1076054 1306637 1690942 1992298 2152108 2613274 3381884 3984596 5226548 5918297 9146459 11836594 14373007 18292918 23673188 28746014 36585836 57492028 100611049 201222098 402444196