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55046880 = 25325743127
BaseRepresentation
bin1101000111111…
…1001011100000
310211120200010100
43101333023200
5103043000010
65243502400
71235614350
oct321771340
9124520110
1055046880
1129088599
1216527a00
13b534625
14744cb60
154c752c0
hex347f2e0

55046880 has 288 divisors, whose sum is σ = 221405184. Its totient is φ = 12192768.

The previous prime is 55046879. The next prime is 55046897. The reversal of 55046880 is 8864055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 433377 + ... + 433503.

It is an arithmetic number, because the mean of its divisors is an integer number (768768).

Almost surely, 255046880 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 55046880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110702592).

55046880 is an abundant number, since it is smaller than the sum of its proper divisors (166358304).

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

55046880 is a wasteful number, since it uses less digits than its factorization.

55046880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 55046880 is about 7419.3584628322. The cubic root of 55046880 is about 380.4032653377.

The spelling of 55046880 in words is "fifty-five million, forty-six thousand, eight hundred eighty".