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404042208 = 25341102653
BaseRepresentation
bin11000000101010…
…011000111100000
31001011021110201020
4120011103013200
51311413322313
6104032005440
713004205423
oct3005230740
91034243636
10404042208
11198086989
12b3390880
136592843b
143b9379ba
1525711323
hex181531e0

404042208 has 48 divisors (see below), whose sum is σ = 1086489936. Its totient is φ = 131394560.

The previous prime is 404042203. The next prime is 404042209. The reversal of 404042208 is 802240404.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404042203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47391 + ... + 55262.

It is an arithmetic number, because the mean of its divisors is an integer number (22635207).

Almost surely, 2404042208 is an apocalyptic number.

404042208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

404042208 is an abundant number, since it is smaller than the sum of its proper divisors (682447728).

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

404042208 is a wasteful number, since it uses less digits than its factorization.

404042208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102707 (or 102699 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 404042208 is about 20100.8011780625. The cubic root of 404042208 is about 739.2799228627.

The spelling of 404042208 in words is "four hundred four million, forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 102653 205306 307959 410612 615918 821224 1231836 1642448 2463672 3284896 4208773 4927344 8417546 9854688 12626319 16835092 25252638 33670184 50505276 67340368 101010552 134680736 202021104 404042208