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550763136 = 27327211887
BaseRepresentation
bin100000110100111…
…111101010000000
31102101100122222200
4200310333222000
52111443410021
6130352433200
716435260300
oct4064775200
91371318880
10550763136
11262989550
12134548800
138a149961
145320b600
1533544126
hex20d3fa80

550763136 has 288 divisors, whose sum is σ = 2013504480. Its totient is φ = 142894080.

The previous prime is 550763107. The next prime is 550763137. The reversal of 550763136 is 631367055.

It is a happy number.

550763136 is a `hidden beast` number, since 550 + 76 + 3 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 550763136.

It is not an unprimeable number, because it can be changed into a prime (550763137) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 620485 + ... + 621371.

It is an arithmetic number, because the mean of its divisors is an integer number (6991335).

Almost surely, 2550763136 is an apocalyptic number.

550763136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 550763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006752240).

550763136 is an abundant number, since it is smaller than the sum of its proper divisors (1462741344).

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

550763136 is a wasteful number, since it uses less digits than its factorization.

550763136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 550763136 is about 23468.3432734396. The cubic root of 550763136 is about 819.7000370224.

The spelling of 550763136 in words is "five hundred fifty million, seven hundred sixty-three thousand, one hundred thirty-six".