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55720800 = 25325271109
BaseRepresentation
bin1101010010001…
…1101101100000
310212211220120100
43110203231200
5103231031200
65310142400
71244422212
oct324435540
9125756510
1055720800
11294a8953
12167b1a00
13b70c2b5
1475865b2
154d59d00
hex3523b60

55720800 has 216 divisors, whose sum is σ = 201080880. Its totient is φ = 14515200.

The previous prime is 55720799. The next prime is 55720823. The reversal of 55720800 is 802755.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 511146 + ... + 511254.

It is an arithmetic number, because the mean of its divisors is an integer number (930930).

Almost surely, 255720800 is an apocalyptic number.

55720800 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 55720800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100540440).

55720800 is an abundant number, since it is smaller than the sum of its proper divisors (145360080).

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

55720800 is a wasteful number, since it uses less digits than its factorization.

55720800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 55720800 is about 7464.6366287985. The cubic root of 55720800 is about 381.9493550541.

The spelling of 55720800 in words is "fifty-five million, seven hundred twenty thousand, eight hundred".