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404963988 = 2231113409577
BaseRepresentation
bin11000001000110…
…100001010010100
31001020000022011020
4120020310022110
51312132321423
6104103441140
713015065012
oct3010641224
91036008136
10404963988
11198656490
12b37561b0
1365b8bb80
143bad78b2
15258444e3
hex18234294

404963988 has 96 divisors (see below), whose sum is σ = 1114753920. Its totient is φ = 112803840.

The previous prime is 404963969. The next prime is 404964029. The reversal of 404963988 is 889369404.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 404963988.

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, 701556 + ... + 702132.

It is an arithmetic number, because the mean of its divisors is an integer number (11612020).

Almost surely, 2404963988 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 404963988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557376960).

404963988 is an abundant number, since it is smaller than the sum of its proper divisors (709789932).

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

404963988 is a wasteful number, since it uses less digits than its factorization.

404963988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1017 (or 1015 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 404963988 is about 20123.7170522744. The cubic root of 404963988 is about 739.8416924567.

The spelling of 404963988 in words is "four hundred four million, nine hundred sixty-three thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 409 429 572 577 818 858 1154 1227 1636 1716 1731 2308 2454 3462 4499 4908 5317 6347 6924 7501 8998 10634 12694 13497 15002 15951 17996 19041 21268 22503 25388 26994 30004 31902 38082 45006 53988 58487 63804 76164 82511 90012 116974 165022 175461 233948 235993 247533 330044 350922 471986 495066 701844 707979 943972 990132 1415958 2595923 2831916 3067909 5191846 6135818 7787769 9203727 10383692 12271636 15575538 18407454 31151076 33746999 36814908 67493998 101240997 134987996 202481994 404963988