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55025280 = 2732541233
BaseRepresentation
bin1101000111100…
…1111010000000
310211112120111100
43101321322000
5103041302110
65243214400
71235464362
oct321717200
9124476440
1055025280
1129073342
1216517400
13b52784b
147444d32
154c6dbc0
hex3479e80

55025280 has 192 divisors, whose sum is σ = 195478920. Its totient is φ = 14254080.

The previous prime is 55025249. The next prime is 55025281. The reversal of 55025280 is 8252055.

It can be written as a sum of positive squares in 4 ways, for example, as 21013056 + 34012224 = 4584^2 + 5832^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (55025281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236044 + ... + 236276.

Almost surely, 255025280 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 55025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97739460).

55025280 is an abundant number, since it is smaller than the sum of its proper divisors (140453640).

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

55025280 is a wasteful number, since it uses less digits than its factorization.

55025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 55025280 is about 7417.9026685445. The cubic root of 55025280 is about 380.3535029927.

The spelling of 55025280 in words is "fifty-five million, twenty-five thousand, two hundred eighty".