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55204800 = 2635273153
BaseRepresentation
bin1101001010010…
…1101111000000
310211212200202020
43102211233000
5103113023200
65251121440
71240142640
oct322455700
9124780666
1055204800
1129186202
12165a3280
13b58b481
147490520
154ca6ea0
hex34a5bc0

55204800 has 336 divisors, whose sum is σ = 217700352. Its totient is φ = 11980800.

The previous prime is 55204783. The next prime is 55204813. The reversal of 55204800 is 840255.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1041574 + ... + 1041626.

Almost surely, 255204800 is an apocalyptic number.

55204800 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 55204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108850176).

55204800 is an abundant number, since it is smaller than the sum of its proper divisors (162495552).

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

55204800 is a wasteful number, since it uses less digits than its factorization.

55204800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 55204800 is about 7429.9932705219. The cubic root of 55204800 is about 380.7666884685.

The spelling of 55204800 in words is "fifty-five million, two hundred four thousand, eight hundred".