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404140242 = 231123117957
BaseRepresentation
bin11000000101101…
…011000011010010
31001011110110012010
4120011223003102
51311424441432
6104034043350
713005064302
oct3005530322
91034413163
10404140242
11198143600
12b3419556
1365960c4c
143b961602
15257303cc
hex1816b0d2

404140242 has 48 divisors (see below), whose sum is σ = 917150976. Its totient is φ = 118509600.

The previous prime is 404140229. The next prime is 404140267. The reversal of 404140242 is 242041404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13528 + ... + 31484.

It is an arithmetic number, because the mean of its divisors is an integer number (19107312).

Almost surely, 2404140242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404140242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458575488).

404140242 is an abundant number, since it is smaller than the sum of its proper divisors (513010734).

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

404140242 is a wasteful number, since it uses less digits than its factorization.

404140242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18015 (or 18004 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 404140242 is about 20103.2395896781. The cubic root of 404140242 is about 739.3397092791.

Adding to 404140242 its reverse (242041404), we get a palindrome (646181646).

The spelling of 404140242 in words is "four hundred four million, one hundred forty thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 341 363 682 726 1023 2046 3751 7502 11253 17957 22506 35914 53871 107742 197527 395054 556667 592581 1113334 1185162 1670001 2172797 3340002 4345594 6123337 6518391 12246674 13036782 18370011 36740022 67356707 134713414 202070121 404140242