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54248240592 = 24337131781173
BaseRepresentation
bin110010100001011100…
…100111010111010000
312012000122122011011000
4302201130213113100
51342100022144332
640531000022000
73630215302560
oct624134472720
9165018564130
1054248240592
1121008799097
12a61b761900
135166c39060
1428a8a22da0
151627802b7c
hexca17275d0

54248240592 has 320 divisors, whose sum is σ = 202922012160. Its totient is φ = 13465460736.

The previous prime is 54248240567. The next prime is 54248240633. The reversal of 54248240592 is 29504284245.

54248240592 is a `hidden beast` number, since 5 + 42 + 482 + 40 + 5 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627718 + ... + 708890.

It is an arithmetic number, because the mean of its divisors is an integer number (634131288).

Almost surely, 254248240592 is an apocalyptic number.

54248240592 is a gapful number since it is divisible by the number (52) 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 54248240592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101461006080).

54248240592 is an abundant number, since it is smaller than the sum of its proper divisors (148673771568).

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

54248240592 is a wasteful number, since it uses less digits than its factorization.

54248240592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81227 (or 81215 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 54248240592 in words is "fifty-four billion, two hundred forty-eight million, two hundred forty thousand, five hundred ninety-two".