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404157601 = 2967792633
BaseRepresentation
bin11000000101101…
…111010010100001
31001011111100000001
4120011233102201
51311431020401
6104034300001
713005166021
oct3005572241
91034440001
10404157601
11198155651
12b3427601
1365968b13
143b967a81
1525735601
hex1816f4a1

404157601 has 16 divisors (see below), whose sum is σ = 429868800. Its totient is φ = 379387008.

The previous prime is 404157599. The next prime is 404157613. The reversal of 404157601 is 106751404.

It is a cyclic number.

It is not a de Polignac number, because 404157601 - 21 = 404157599 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 404157601.

It is not an unprimeable number, because it can be changed into a prime (404157101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152181 + ... + 154813.

It is an arithmetic number, because the mean of its divisors is an integer number (26866800).

Almost surely, 2404157601 is an apocalyptic number.

It is an amenable number.

404157601 is a deficient number, since it is larger than the sum of its proper divisors (25711199).

404157601 is a wasteful number, since it uses less digits than its factorization.

404157601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2808.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 404157601 is about 20103.6713313763. The cubic root of 404157601 is about 739.3502947252.

The spelling of 404157601 in words is "four hundred four million, one hundred fifty-seven thousand, six hundred one".

Divisors: 1 29 67 79 1943 2291 2633 5293 76357 153497 176411 208007 5115919 6032203 13936469 404157601