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404804232 = 233272347743
BaseRepresentation
bin11000001000001…
…101001010001000
31001012201012000100
4120020031022020
51312112213412
6104100205400
713013531160
oct3010151210
91035635010
10404804232
11198557458
12b3699860
1365b34241
143ba955a0
1525811edc
hex1820d288

404804232 has 192 divisors, whose sum is σ = 1337057280. Its totient is φ = 108130176.

The previous prime is 404804227. The next prime is 404804233. The reversal of 404804232 is 232408404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 404804196 and 404804205.

It is not an unprimeable number, because it can be changed into a prime (404804233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 544453 + ... + 545195.

It is an arithmetic number, because the mean of its divisors is an integer number (6963840).

Almost surely, 2404804232 is an apocalyptic number.

404804232 is a gapful number since it is divisible by the number (42) 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 404804232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668528640).

404804232 is an abundant number, since it is smaller than the sum of its proper divisors (932253048).

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

404804232 is a wasteful number, since it uses less digits than its factorization.

404804232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 404804232 is about 20119.7473145167. The cubic root of 404804232 is about 739.7443918748.

The spelling of 404804232 in words is "four hundred four million, eight hundred four thousand, two hundred thirty-two".