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404085552 = 243131275099
BaseRepresentation
bin11000000101011…
…101101100110000
31001011100200011120
4120011131230300
51311421214202
6104032542240
713004445663
oct3005355460
91034320146
10404085552
11198106502
12b33b1980
13659420a0
143b9496da
152571e0bc
hex1815db30

404085552 has 80 divisors (see below), whose sum is σ = 1133260800. Its totient is φ = 123330816.

The previous prime is 404085541. The next prime is 404085557. The reversal of 404085552 is 255580404.

It is not an unprimeable number, because it can be changed into a prime (404085557) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76699 + ... + 81797.

It is an arithmetic number, because the mean of its divisors is an integer number (14165760).

Almost surely, 2404085552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404085552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566630400).

404085552 is an abundant number, since it is smaller than the sum of its proper divisors (729175248).

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

404085552 is a wasteful number, since it uses less digits than its factorization.

404085552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250 (or 5244 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 404085552 is about 20101.8793151287. The cubic root of 404085552 is about 739.3063575623.

The spelling of 404085552 in words is "four hundred four million, eighty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 508 624 762 1016 1524 1651 2032 3048 3302 4953 5099 6096 6604 9906 10198 13208 15297 19812 20396 26416 30594 39624 40792 61188 66287 79248 81584 122376 132574 198861 244752 265148 397722 530296 647573 795444 1060592 1295146 1590888 1942719 2590292 3181776 3885438 5180584 7770876 8418449 10361168 15541752 16836898 25255347 31083504 33673796 50510694 67347592 101021388 134695184 202042776 404085552