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400141252 = 22722041537
BaseRepresentation
bin10111110110011…
…010101111000100
31000212221021121101
4113312122233010
51304414010002
6103412225444
712626100400
oct2766325704
91025837541
10400141252
11195962055
12b200b284
1364b90994
143b200100
15251e0587
hex17d9abc4

400141252 has 18 divisors (see below), whose sum is σ = 814573662. Its totient is φ = 171489024.

The previous prime is 400141237. The next prime is 400141253. The reversal of 400141252 is 252141004.

It can be written as a sum of positive squares in only one way, i.e., 392990976 + 7150276 = 19824^2 + 2674^2 .

It is a super-2 number, since 2×4001412522 = 320226043104255008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (400141253) 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 5 ways as a sum of consecutive naturals, for example, 1020573 + ... + 1020964.

Almost surely, 2400141252 is an apocalyptic number.

It is an amenable number.

400141252 is an abundant number, since it is smaller than the sum of its proper divisors (414432410).

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

400141252 is a wasteful number, since it uses less digits than its factorization.

400141252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041555 (or 2041546 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 400141252 is about 20003.5309883030. The cubic root of 400141252 is about 736.8930189907.

Adding to 400141252 its reverse (252141004), we get a palindrome (652282256).

The spelling of 400141252 in words is "four hundred million, one hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 49 98 196 2041537 4083074 8166148 14290759 28581518 57163036 100035313 200070626 400141252