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550452672 = 26347211197
BaseRepresentation
bin100000110011110…
…011110111000000
31102100202220010000
4200303303313000
52111403441142
6130342040000
716432525200
oct4063636700
91370686100
10550452672
11262797270
12134419000
138a06b553
145316a400
15334d214c
hex20cf3dc0

550452672 has 420 divisors, whose sum is σ = 2081183544. Its totient is φ = 142248960.

The previous prime is 550452659. The next prime is 550452689. The reversal of 550452672 is 276254055.

550452672 is a `hidden beast` number, since 550 + 45 + 2 + 67 + 2 = 666.

It is a super-3 number, since 3×5504526723 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2794078 + ... + 2794274.

Almost surely, 2550452672 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 550452672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040591772).

550452672 is an abundant number, since it is smaller than the sum of its proper divisors (1530730872).

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

550452672 is a wasteful number, since it uses less digits than its factorization.

550452672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 550452672 is about 23461.7278136117. The cubic root of 550452672 is about 819.5459870212.

The spelling of 550452672 in words is "five hundred fifty million, four hundred fifty-two thousand, six hundred seventy-two".