Search a number
-
+
550504656 = 243213222621
BaseRepresentation
bin100000110100000…
…000100011010000
31102100212112102100
4200310000203100
52111412122111
6130343120400
716433132562
oct4064004320
91370775370
10550504656
11262822329
12134443100
138a089100
1453181332
15334e2756
hex20d008d0

550504656 has 90 divisors (see below), whose sum is σ = 1668349878. Its totient is φ = 169378560.

The previous prime is 550504649. The next prime is 550504679. The reversal of 550504656 is 656405055.

It is a happy number.

550504656 is a `hidden beast` number, since 550 + 50 + 4 + 6 + 56 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 54997056 + 495507600 = 7416^2 + 22260^2 .

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 550504656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13026 + ... + 35646.

Almost surely, 2550504656 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 550504656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (834174939).

550504656 is an abundant number, since it is smaller than the sum of its proper divisors (1117845222).

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

550504656 is a wasteful number, since it uses less digits than its factorization.

550504656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22661 (or 22639 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The square root of 550504656 is about 23462.8356342536. The cubic root of 550504656 is about 819.5717851444.

The spelling of 550504656 in words is "five hundred fifty million, five hundred four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 169 208 234 312 338 468 507 624 676 936 1014 1352 1521 1872 2028 2704 3042 4056 6084 8112 12168 22621 24336 45242 67863 90484 135726 180968 203589 271452 294073 361936 407178 542904 588146 814356 882219 1085808 1176292 1628712 1764438 2352584 2646657 3257424 3528876 3822949 4705168 5293314 7057752 7645898 10586628 11468847 14115504 15291796 21173256 22937694 30583592 34406541 42346512 45875388 61167184 68813082 91750776 137626164 183501552 275252328 550504656