Search a number
-
+
404057501 = 3741266353
BaseRepresentation
bin11000000101010…
…110110110011101
31001011022020200122
4120011112312131
51311414320001
6104032204325
713004301131
oct3005266635
91034266618
10404057501
11198097421
12b33996a5
13659323a3
143b93d3c1
1525715b1b
hex18156d9d

404057501 has 8 divisors (see below), whose sum is σ = 425100984. Its totient is φ = 383546880.

The previous prime is 404057497. The next prime is 404057519. The reversal of 404057501 is 105750404.

It can be written as a sum of positive squares in 4 ways, for example, as 29441476 + 374616025 = 5426^2 + 19355^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404057501 - 22 = 404057497 is a prime.

It is a super-2 number, since 2×4040575012 = 326524928228730002, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404057201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131660 + ... + 134693.

It is an arithmetic number, because the mean of its divisors is an integer number (53137623).

Almost surely, 2404057501 is an apocalyptic number.

404057501 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

404057501 is a deficient number, since it is larger than the sum of its proper divisors (21043483).

404057501 is a wasteful number, since it uses less digits than its factorization.

404057501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266431.

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 404057501 is about 20101.1815821857. The cubic root of 404057501 is about 739.2892499948.

The spelling of 404057501 in words is "four hundred four million, fifty-seven thousand, five hundred one".

Divisors: 1 37 41 1517 266353 9855061 10920473 404057501