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550079712 = 2532713139151
BaseRepresentation
bin100000110010011…
…000110011100000
31102100001221111200
4200302120303200
52111310022322
6130330041200
716426412640
oct4062306340
91370057450
10550079712
11262562036
12134279200
1389c6a870
14530b0520
153345b8ac
hex20c98ce0

550079712 has 288 divisors, whose sum is σ = 1951971840. Its totient is φ = 143078400.

The previous prime is 550079711. The next prime is 550079723. The reversal of 550079712 is 217970055.

550079712 is a `hidden beast` number, since 550 + 0 + 7 + 97 + 12 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (550079711) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3642837 + ... + 3642987.

It is an arithmetic number, because the mean of its divisors is an integer number (6777680).

Almost surely, 2550079712 is an apocalyptic number.

550079712 is a gapful number since it is divisible by the number (52) 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 550079712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975985920).

550079712 is an abundant number, since it is smaller than the sum of its proper divisors (1401892128).

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

550079712 is a wasteful number, since it uses less digits than its factorization.

550079712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 550079712 is about 23453.7782030956. The cubic root of 550079712 is about 819.3608503475.

The spelling of 550079712 in words is "five hundred fifty million, seventy-nine thousand, seven hundred twelve".