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552105864 = 23327668137
BaseRepresentation
bin100000111010000…
…111011110001000
31102110212212212100
4200322013132020
52112314341424
6130441313400
716452552042
oct4072073610
91373785770
10552105864
11263716342
12134a95860
138a4c9b7b
145347aa92
153370bdc9
hex20e87788

552105864 has 24 divisors (see below), whose sum is σ = 1495286910. Its totient is φ = 184035264.

The previous prime is 552105863. The next prime is 552105881. The reversal of 552105864 is 468501255.

552105864 is a `hidden beast` number, since 55 + 21 + 0 + 586 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 543356100 + 8749764 = 23310^2 + 2958^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is not an unprimeable number, because it can be changed into a prime (552105863) 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 5 ways as a sum of consecutive naturals, for example, 3833997 + ... + 3834140.

Almost surely, 2552105864 is an apocalyptic number.

It is an amenable number.

552105864 is an abundant number, since it is smaller than the sum of its proper divisors (943181046).

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

552105864 is a wasteful number, since it uses less digits than its factorization.

552105864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7668149 (or 7668142 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 552105864 is about 23496.9330764677. The cubic root of 552105864 is about 820.3656231893.

The spelling of 552105864 in words is "five hundred fifty-two million, one hundred five thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 7668137 15336274 23004411 30672548 46008822 61345096 69013233 92017644 138026466 184035288 276052932 552105864