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54065088 = 26327112353
BaseRepresentation
bin1100111000111…
…1011111000000
310202201210100200
43032033133000
5102320040323
65210445200
71224355110
oct316173700
9122653320
1054065088
11285779a0
1216133800
13b27c79c
147275040
154b2e443
hex338f7c0

54065088 has 336 divisors, whose sum is σ = 205410816. Its totient is φ = 13178880.

The previous prime is 54065027. The next prime is 54065107. The reversal of 54065088 is 88056045.

It is a happy number.

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 (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, 1020070 + ... + 1020122.

Almost surely, 254065088 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 54065088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705408).

54065088 is an abundant number, since it is smaller than the sum of its proper divisors (151345728).

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

54065088 is a wasteful number, since it uses less digits than its factorization.

54065088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 99 counting only the distinct ones).

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

The square root of 54065088 is about 7352.8965721000. The cubic root of 54065088 is about 378.1281164782.

The spelling of 54065088 in words is "fifty-four million, sixty-five thousand, eighty-eight".