Search a number
-
+
404466642 = 23319479823
BaseRepresentation
bin11000000110111…
…010101111010010
31001012002000221000
4120012322233102
51312020413032
6104045042430
713010624016
oct3006725722
91035060830
10404466642
11198346858
12b3556416
1365a46698
143ba08546
1525796e7c
hex181babd2

404466642 has 64 divisors (see below), whose sum is σ = 949248000. Its totient is φ = 127304784.

The previous prime is 404466619. The next prime is 404466709. The reversal of 404466642 is 246664404.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 404466597 and 404466606.

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, 491043 + ... + 491865.

It is an arithmetic number, because the mean of its divisors is an integer number (14832000).

Almost surely, 2404466642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404466642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474624000).

404466642 is an abundant number, since it is smaller than the sum of its proper divisors (544781358).

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

404466642 is a wasteful number, since it uses less digits than its factorization.

404466642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1332 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 404466642 is about 20111.3560457767. The cubic root of 404466642 is about 739.5386959331.

The spelling of 404466642 in words is "four hundred four million, four hundred sixty-six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 479 513 823 958 1026 1437 1646 2469 2874 4311 4938 7407 8622 9101 12933 14814 15637 18202 22221 25866 27303 31274 44442 46911 54606 81909 93822 140733 163818 245727 281466 394217 422199 491454 788434 844398 1182651 2365302 3547953 7095906 7490123 10643859 14980246 21287718 22470369 44940738 67411107 134822214 202233321 404466642