Search a number
-
+
400451142 = 23713733427
BaseRepresentation
bin10111110111100…
…110011001000110
31000220112000200210
4113313212121012
51310003414032
6103423020250
712631531020
oct2767463106
91026460623
10400451142
11196053963
12b213a686
1364c6ba50
143b281010
15252522cc
hex17de6646

400451142 has 32 divisors (see below), whose sum is σ = 985727232. Its totient is φ = 105613344.

The previous prime is 400451123. The next prime is 400451189. The reversal of 400451142 is 241154004.

It is a happy number.

It is a super-2 number, since 2×4004511422 = 320722234258208328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 366168 + ... + 367259.

It is an arithmetic number, because the mean of its divisors is an integer number (30803976).

Almost surely, 2400451142 is an apocalyptic number.

400451142 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

400451142 is an abundant number, since it is smaller than the sum of its proper divisors (585276090).

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

400451142 is a wasteful number, since it uses less digits than its factorization.

400451142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733452.

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 400451142 is about 20011.2753716499. The cubic root of 400451142 is about 737.0831992097.

The spelling of 400451142 in words is "four hundred million, four hundred fifty-one thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 733427 1466854 2200281 4400562 5133989 9534551 10267978 15401967 19069102 28603653 30803934 57207306 66741857 133483714 200225571 400451142