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404050842 = 234131731109
BaseRepresentation
bin11000000101010…
…101001110011010
31001011021220120000
4120011111032122
51311414111332
6104032113430
713004242536
oct3005251632
91034256500
10404050842
11198092418
12b3395876
136592c350
143b93abc6
1525713b7c
hex1815539a

404050842 has 80 divisors (see below), whose sum is σ = 981537480. Its totient is φ = 123493248.

The previous prime is 404050837. The next prime is 404050861. The reversal of 404050842 is 248050404.

It can be written as a sum of positive squares in 4 ways, for example, as 245517561 + 158533281 = 15669^2 + 12591^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 363784 + ... + 364892.

Almost surely, 2404050842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404050842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490768740).

404050842 is an abundant number, since it is smaller than the sum of its proper divisors (577486638).

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

404050842 is a wasteful number, since it uses less digits than its factorization.

404050842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 404050842 is about 20101.0159444741. The cubic root of 404050842 is about 739.2851887295.

The spelling of 404050842 in words is "four hundred four million, fifty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 173 234 346 351 519 702 1038 1053 1109 1557 2106 2218 2249 3114 3327 4498 4671 6654 6747 9342 9981 13494 14013 14417 19962 20241 28026 28834 29943 40482 43251 59886 60723 86502 89829 121446 129753 179658 182169 191857 259506 364338 383714 389259 575571 778518 1151142 1167777 1726713 2335554 2494141 3453426 4988282 5180139 7482423 10360278 14964846 15540417 22447269 31080834 44894538 67341807 134683614 202025421 404050842