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BaseRepresentation
bin1101001011110…
…0000000000000
310212001022212000
43102330000000
5103123433000
65253104000
71241002554
oct322740000
9125038760
1055296000
1129238781
1216628000
13b5c0b36
1474b5864
154cc4000
hex34bc000

55296000 has 240 divisors, whose sum is σ = 204466080. Its totient is φ = 14745600.

The previous prime is 55295993. The next prime is 55296037. The reversal of 55296000 is 69255.

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.

It is a Jordan-Polya number, since it can be written as (5!)3 ⋅ (2!)5.

55296000 is a `hidden beast` number, since 5 + 52 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11059198 + ... + 11059202.

It is an arithmetic number, because the mean of its divisors is an integer number (851942).

Almost surely, 255296000 is an apocalyptic number.

55296000 is a gapful number since it is divisible by the number (50) 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 55296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102233040).

55296000 is an abundant number, since it is smaller than the sum of its proper divisors (149170080).

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

55296000 is an frugal number, since it uses more digits than its factorization.

55296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55296000 is about 7436.1280247182. The cubic root of 55296000 is about 380.9762524724.

The spelling of 55296000 in words is "fifty-five million, two hundred ninety-six thousand".