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400268097 = 32235718869
BaseRepresentation
bin10111110110111…
…001101101000001
31000220011201121100
4113312321231001
51304432034342
6103415045013
712630136245
oct2766715501
91026151540
10400268097
11195a39389
12b2070769
1364c06638
143b234425
1525217e4c
hex17db9b41

400268097 has 12 divisors (see below), whose sum is σ = 578440980. Its totient is φ = 266718048.

The previous prime is 400268069. The next prime is 400268119. The reversal of 400268097 is 790862004.

It can be written as a sum of positive squares in 2 ways, for example, as 258277041 + 141991056 = 16071^2 + 11916^2 .

It is not a de Polignac number, because 400268097 - 211 = 400266049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400268017) 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 11 ways as a sum of consecutive naturals, for example, 11779 + ... + 30647.

It is an arithmetic number, because the mean of its divisors is an integer number (48203415).

Almost surely, 2400268097 is an apocalyptic number.

It is an amenable number.

400268097 is a deficient number, since it is larger than the sum of its proper divisors (178172883).

400268097 is a wasteful number, since it uses less digits than its factorization.

400268097 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21232 (or 21229 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 400268097 is about 20006.7013023137. The cubic root of 400268097 is about 736.9708759303.

The spelling of 400268097 in words is "four hundred million, two hundred sixty-eight thousand, ninety-seven".

Divisors: 1 3 9 2357 7071 18869 21213 56607 169821 44474233 133422699 400268097