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559094004 = 223272239949
BaseRepresentation
bin100001010100110…
…001100011110100
31102222000220210100
4201110301203310
52121112002004
6131251154100
716566135450
oct4124614364
91388026710
10559094004
11267659667
121372a5930
138baa5871
1454379660
153413c739
hex215318f4

559094004 has 72 divisors (see below), whose sum is σ = 1622566400. Its totient is φ = 159008832.

The previous prime is 559093967. The next prime is 559094033. The reversal of 559094004 is 400490955.

It is a super-2 number, since 2×5590940042 = 625172210617504032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 559094004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51222 + ... + 61170.

Almost surely, 2559094004 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 559094004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811283200).

559094004 is an abundant number, since it is smaller than the sum of its proper divisors (1063472396).

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

559094004 is a wasteful number, since it uses less digits than its factorization.

559094004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10184 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 559094004 is about 23645.1687242870. The cubic root of 559094004 is about 823.8123119354.

The spelling of 559094004 in words is "five hundred fifty-nine million, ninety-four thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 223 252 446 669 892 1338 1561 2007 2676 3122 4014 4683 6244 8028 9366 9949 14049 18732 19898 28098 29847 39796 56196 59694 69643 89541 119388 139286 179082 208929 278572 358164 417858 626787 835716 1253574 2218627 2507148 4437254 6655881 8874508 13311762 15530389 19967643 26623524 31060778 39935286 46591167 62121556 79870572 93182334 139773501 186364668 279547002 559094004