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550738440 = 23345723469
BaseRepresentation
bin100000110100111…
…001101000001000
31102101022102010000
4200310321220020
52111442112230
6130352123000
716435125300
oct4064715010
91371272100
10550738440
11262971a3a
12134536460
138a13b645
1453202600
153353bb60
hex20d39a08

550738440 has 240 divisors, whose sum is σ = 2153933100. Its totient is φ = 125846784.

The previous prime is 550738387. The next prime is 550738471. The reversal of 550738440 is 44837055.

It can be written as a sum of positive squares in 2 ways, for example, as 475152804 + 75585636 = 21798^2 + 8694^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 550738395 and 550738404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 157026 + ... + 160494.

Almost surely, 2550738440 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 550738440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1076966550).

550738440 is an abundant number, since it is smaller than the sum of its proper divisors (1603194660).

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

550738440 is a wasteful number, since it uses less digits than its factorization.

550738440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3506 (or 3486 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 550738440 is about 23467.8171119514. The cubic root of 550738440 is about 819.6877851647.

The spelling of 550738440 in words is "five hundred fifty million, seven hundred thirty-eight thousand, four hundred forty".