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404745642 = 23273212267
BaseRepresentation
bin11000000111111…
…110110110101010
31001012121012122100
4120013332312222
51312103330032
6104055034230
713013165310
oct3007766652
91035535570
10404745642
11198517434
12b366b976
1365b13682
143ba7c0b0
15257ee97c
hex181fedaa

404745642 has 24 divisors (see below), whose sum is σ = 1002227616. Its totient is φ = 115641576.

The previous prime is 404745629. The next prime is 404745659. The reversal of 404745642 is 246547404.

404745642 is a `hidden beast` number, since 4 + 0 + 4 + 7 + 4 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 404745597 and 404745606.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1606008 + ... + 1606259.

It is an arithmetic number, because the mean of its divisors is an integer number (41759484).

Almost surely, 2404745642 is an apocalyptic number.

404745642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

404745642 is an abundant number, since it is smaller than the sum of its proper divisors (597481974).

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

404745642 is a wasteful number, since it uses less digits than its factorization.

404745642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3212282 (or 3212279 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 404745642 is about 20118.2912296248. The cubic root of 404745642 is about 739.7087007829.

The spelling of 404745642 in words is "four hundred four million, seven hundred forty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 3212267 6424534 9636801 19273602 22485869 28910403 44971738 57820806 67457607 134915214 202372821 404745642