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404523840 = 26357173541
BaseRepresentation
bin11000000111001…
…000101101000000
31001012011221101110
4120013020231000
51312024230330
6104050203320
713011252540
oct3007105500
91035157343
10404523840
11198385826
12b3583540
1365a66726
143ba21320
15257a8db0
hex181c8b40

404523840 has 224 divisors, whose sum is σ = 1554626304. Its totient is φ = 86999040.

The previous prime is 404523827. The next prime is 404523863. The reversal of 404523840 is 48325404.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 404523798 and 404523807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112470 + ... + 116010.

It is an arithmetic number, because the mean of its divisors is an integer number (6940296).

Almost surely, 2404523840 is an apocalyptic number.

404523840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404523840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777313152).

404523840 is an abundant number, since it is smaller than the sum of its proper divisors (1150102464).

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

404523840 is a wasteful number, since it uses less digits than its factorization.

404523840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3585 (or 3575 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 404523840 is about 20112.7780279105. The cubic root of 404523840 is about 739.5735551247.

The spelling of 404523840 in words is "four hundred four million, five hundred twenty-three thousand, eight hundred forty".