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400133541 = 31511635419
BaseRepresentation
bin10111110110011…
…000110110100101
31000212220220000210
4113312120312211
51304413233131
6103412130033
712626036043
oct2766306645
91025826023
10400133541
11195957285
12b2006919
1364b8a312
143b1db393
15251dd146
hex17d98da5

400133541 has 16 divisors (see below), whose sum is σ = 540439040. Its totient is φ = 263314800.

The previous prime is 400133527. The next prime is 400133549. The reversal of 400133541 is 145331004.

It is not a de Polignac number, because 400133541 - 26 = 400133477 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400133549) 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 15 ways as a sum of consecutive naturals, for example, 71130 + ... + 76548.

It is an arithmetic number, because the mean of its divisors is an integer number (33777440).

Almost surely, 2400133541 is an apocalyptic number.

It is an amenable number.

400133541 is a deficient number, since it is larger than the sum of its proper divisors (140305499).

400133541 is a wasteful number, since it uses less digits than its factorization.

400133541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5736.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 400133541 is about 20003.3382464028. The cubic root of 400133541 is about 736.8882854801. Note that the first 3 decimals are identical.

Adding to 400133541 its reverse (145331004), we get a palindrome (545464545).

The spelling of 400133541 in words is "four hundred million, one hundred thirty-three thousand, five hundred forty-one".

Divisors: 1 3 151 163 453 489 5419 16257 24613 73839 818269 883297 2454807 2649891 133377847 400133541