Search a number
-
+
54822876192 = 253872732
BaseRepresentation
bin110011000011101100…
…101011010000100000
312020111200220200000000
4303003230223100200
51344234124014232
641104004300000
73650363521200
oct630354532040
9166450820000
1054822876192
11212830a2347
12a7600a1600
135228cc3916
142921086400
15165ceb027c
hexcc3b2b420

54822876192 has 486 divisors, whose sum is σ = 190936784493. Its totient is φ = 15449107968.

The previous prime is 54822876191. The next prime is 54822876211. The reversal of 54822876192 is 29167822845.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

54822876192 is a `hidden beast` number, since 5 + 482 + 2 + 8 + 76 + 1 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54570828816 + 252047376 = 233604^2 + 15876^2 .

It is a tau number, because it is divible by the number of its divisors (486).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=165564.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54822876191) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 750998268 + ... + 750998340.

Almost surely, 254822876192 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 54822876192

54822876192 is an abundant number, since it is smaller than the sum of its proper divisors (136113908301).

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

54822876192 is an frugal number, since it uses more digits than its factorization.

54822876192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 85 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The spelling of 54822876192 in words is "fifty-four billion, eight hundred twenty-two million, eight hundred seventy-six thousand, one hundred ninety-two".