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401535441 = 3314871683
BaseRepresentation
bin10111111011101…
…111000111010001
31000222120010002000
4113323233013101
51310243113231
6103502144213
712643665156
oct2773570721
91028503060
10401535441
1119672457a
12b2582069
136525b448
143b48422d
15253b86e6
hex17eef1d1

401535441 has 8 divisors (see below), whose sum is σ = 594867360. Its totient is φ = 267690276.

The previous prime is 401535437. The next prime is 401535487. The reversal of 401535441 is 144535104.

It is a happy number.

It is not a de Polignac number, because 401535441 - 22 = 401535437 is a prime.

It is a super-2 number, since 2×4015354412 = 322461420758128962, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 14871683 = 401535441 / (4 + 0 + 1 + 5 + 3 + 5 + 4 + 4 + 1).

It is not an unprimeable number, because it can be changed into a prime (401535041) 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 7 ways as a sum of consecutive naturals, for example, 7435815 + ... + 7435868.

It is an arithmetic number, because the mean of its divisors is an integer number (74358420).

Almost surely, 2401535441 is an apocalyptic number.

It is an amenable number.

401535441 is a deficient number, since it is larger than the sum of its proper divisors (193331919).

401535441 is a wasteful number, since it uses less digits than its factorization.

401535441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14871692 (or 14871686 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 401535441 is about 20038.3492583596. The cubic root of 401535441 is about 737.7478648238.

The spelling of 401535441 in words is "four hundred one million, five hundred thirty-five thousand, four hundred forty-one".

Divisors: 1 3 9 27 14871683 44615049 133845147 401535441