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404985588 = 22373611613
BaseRepresentation
bin11000001000111…
…001011011110100
31001020001101210020
4120020321123310
51312134014323
6104104125140
713015215000
oct3010713364
91036041706
10404985588
11198670737
12b37667b0
1365b98957
143bb01700
152584aae3
hex182396f4

404985588 has 96 divisors (see below), whose sum is σ = 1120761600. Its totient is φ = 113742720.

The previous prime is 404985557. The next prime is 404985599. The reversal of 404985588 is 885589404.

It is a self number, because there is not a number n which added to its sum of digits gives 404985588.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250270 + ... + 251882.

It is an arithmetic number, because the mean of its divisors is an integer number (11674600).

Almost surely, 2404985588 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 404985588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560380800).

404985588 is an abundant number, since it is smaller than the sum of its proper divisors (715776012).

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

404985588 is a wasteful number, since it uses less digits than its factorization.

404985588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1702 (or 1686 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 51.

The square root of 404985588 is about 20124.2537252938. The cubic root of 404985588 is about 739.8548461337.

The spelling of 404985588 in words is "four hundred four million, nine hundred eighty-five thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 61 84 98 122 147 183 196 244 294 343 366 427 588 686 732 854 1029 1281 1372 1613 1708 2058 2562 2989 3226 4116 4839 5124 5978 6452 8967 9678 11291 11956 17934 19356 20923 22582 33873 35868 41846 45164 62769 67746 79037 83692 98393 125538 135492 158074 196786 237111 251076 295179 316148 393572 474222 553259 590358 688751 948444 1106518 1180716 1377502 1659777 2066253 2213036 2755004 3319554 4132506 4821257 6639108 8265012 9642514 14463771 19285028 28927542 33748799 57855084 67497598 101246397 134995196 202492794 404985588