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404796042 = 23472691327
BaseRepresentation
bin11000001000001…
…011001010001010
31001012200202210000
4120020023022022
51312111433132
6104100103430
713013465250
oct3010131212
91035622700
10404796042
11198551292
12b3694b76
1365b305b1
143ba925d0
152580e87c
hex1820b28a

404796042 has 80 divisors (see below), whose sum is σ = 1041258240. Its totient is φ = 115139232.

The previous prime is 404796031. The next prime is 404796053. The reversal of 404796042 is 240697404.

404796042 is a `hidden beast` number, since 4 + 0 + 47 + 9 + 604 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (404796031) and next prime (404796053).

It is a junction number, because it is equal to n+sod(n) for n = 404795988 and 404796006.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 304383 + ... + 305709.

It is an arithmetic number, because the mean of its divisors is an integer number (13015728).

Almost surely, 2404796042 is an apocalyptic number.

404796042 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 404796042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520629120).

404796042 is an abundant number, since it is smaller than the sum of its proper divisors (636462198).

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

404796042 is a wasteful number, since it uses less digits than its factorization.

404796042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 404796042 is about 20119.5437821040. The cubic root of 404796042 is about 739.7394030045.

The spelling of 404796042 in words is "four hundred four million, seven hundred ninety-six thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 269 378 538 567 807 1134 1327 1614 1883 2421 2654 3766 3981 4842 5649 7263 7962 9289 11298 11943 14526 16947 18578 21789 23886 27867 33894 35829 43578 50841 55734 71658 83601 101682 107487 152523 167202 214974 250803 305046 356963 501606 713926 752409 1070889 1504818 2141778 2498741 3212667 4997482 6425334 7496223 9638001 14992446 19276002 22488669 28914003 44977338 57828006 67466007 134932014 202398021 404796042