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54536958 = 2327432833
BaseRepresentation
bin1101000000001…
…0101011111110
310210121202122100
43100002223332
5102430140313
65224525530
71231361610
oct320025376
9123552570
1054536958
112886a473
12163208a6
13b3b64b8
147358db0
154bc4173
hex3402afe

54536958 has 24 divisors (see below), whose sum is σ = 135044208. Its totient is φ = 15581952.

The previous prime is 54536957. The next prime is 54536971. The reversal of 54536958 is 85963545.

54536958 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×545369583 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54536957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 216291 + ... + 216542.

It is an arithmetic number, because the mean of its divisors is an integer number (5626842).

Almost surely, 254536958 is an apocalyptic number.

54536958 is an abundant number, since it is smaller than the sum of its proper divisors (80507250).

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

54536958 is a wasteful number, since it uses less digits than its factorization.

54536958 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432848 (or 432845 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 54536958 is about 7384.9142175113. The cubic root of 54536958 is about 379.2250086988.

The spelling of 54536958 in words is "fifty-four million, five hundred thirty-six thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 432833 865666 1298499 2596998 3029831 3895497 6059662 7790994 9089493 18178986 27268479 54536958