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55064776 = 2313737253
BaseRepresentation
bin1101001000001…
…1100011001000
310211121120200011
43102003203020
5103044033101
65244121304
71236020464
oct322034310
9124546604
1055064776
112909aa88
1216536234
13b53c810
1474554a4
154c7a751
hex34838c8

55064776 has 32 divisors (see below), whose sum is σ = 112727160. Its totient is φ = 25062912.

The previous prime is 55064771. The next prime is 55064797. The reversal of 55064776 is 67746055.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 45292900 + 9771876 = 6730^2 + 3126^2 .

It is not an unprimeable number, because it can be changed into a prime (55064771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3966 + ... + 11218.

Almost surely, 255064776 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 55064776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56363580).

55064776 is an abundant number, since it is smaller than the sum of its proper divisors (57662384).

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

55064776 is a wasteful number, since it uses less digits than its factorization.

55064776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345 (or 7341 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 40.

The square root of 55064776 is about 7420.5643990198. The cubic root of 55064776 is about 380.4444845023. Note that the first 4 decimals are identical.

The spelling of 55064776 in words is "fifty-five million, sixty-four thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 13 26 52 73 104 146 292 584 949 1898 3796 7253 7592 14506 29012 58024 94289 188578 377156 529469 754312 1058938 2117876 4235752 6883097 13766194 27532388 55064776