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54002064 = 2431766179
BaseRepresentation
bin1100111000000…
…0000110010000
310202121120220110
43032000012100
5102311031224
65205241320
71224003264
oct316000620
9122546813
1054002064
1128534606
1216103240
13b259bac
14725a0a4
154b1a929
hex3380190

54002064 has 40 divisors (see below), whose sum is σ = 147713760. Its totient is φ = 16941568.

The previous prime is 54002021. The next prime is 54002087. The reversal of 54002064 is 46020045.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 54002064.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32274 + ... + 33905.

It is an arithmetic number, because the mean of its divisors is an integer number (3692844).

Almost surely, 254002064 is an apocalyptic number.

It is an amenable number.

54002064 is an abundant number, since it is smaller than the sum of its proper divisors (93711696).

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

54002064 is a wasteful number, since it uses less digits than its factorization.

54002064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66207 (or 66201 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54002064 is about 7348.6096644195. The cubic root of 54002064 is about 377.9811306053.

The spelling of 54002064 in words is "fifty-four million, two thousand, sixty-four", and thus it is an eban number.

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 66179 132358 198537 264716 397074 529432 794148 1058864 1125043 1588296 2250086 3176592 3375129 4500172 6750258 9000344 13500516 18000688 27001032 54002064