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404000884 = 22722299001
BaseRepresentation
bin11000000101001…
…001000001110100
31001011012101000201
4120011021001310
51311411012014
6104031050244
713003644100
oct3005110164
91034171021
10404000884
11198058931
12b3370984
13659126a1
143b926900
1525703e74
hex18149074

404000884 has 36 divisors (see below), whose sum is σ = 826113540. Its totient is φ = 172368000.

The previous prime is 404000881. The next prime is 404000887. The reversal of 404000884 is 488000404.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (404000881) and next prime (404000887).

It can be written as a sum of positive squares in 2 ways, for example, as 236298384 + 167702500 = 15372^2 + 12950^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404000881) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40384 + ... + 49384.

Almost surely, 2404000884 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404000884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413056770).

404000884 is an abundant number, since it is smaller than the sum of its proper divisors (422112656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

404000884 is a wasteful number, since it uses less digits than its factorization.

404000884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9248 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 404000884 is about 20099.7732325517. The cubic root of 404000884 is about 739.2547183630.

The spelling of 404000884 in words is "four hundred four million, eight hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 49 98 196 229 458 916 1603 3206 6412 9001 11221 18002 22442 36004 44884 63007 126014 252028 441049 882098 1764196 2061229 4122458 8244916 14428603 28857206 57714412 101000221 202000442 404000884