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54892134 = 23311231271
BaseRepresentation
bin1101000101100…
…1011001100110
310211021210212000
43101121121212
5103023022014
65240310130
71234401243
oct321313146
9124253760
1054892134
1128a92300
1216472346
13b4ac06b
14740c5ca
154c44509
hex3459666

54892134 has 96 divisors (see below), whose sum is σ = 138915840. Its totient is φ = 16038000.

The previous prime is 54892111. The next prime is 54892141. The reversal of 54892134 is 43129845.

54892134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 202419 + ... + 202689.

It is an arithmetic number, because the mean of its divisors is an integer number (1447040).

Almost surely, 254892134 is an apocalyptic number.

54892134 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 54892134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457920).

54892134 is an abundant number, since it is smaller than the sum of its proper divisors (84023706).

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

54892134 is a wasteful number, since it uses less digits than its factorization.

54892134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 318 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 54892134 is about 7408.9225937379. The cubic root of 54892134 is about 380.0464716942.

The spelling of 54892134 in words is "fifty-four million, eight hundred ninety-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 31 33 54 62 66 93 99 121 186 198 242 271 279 297 341 363 542 558 594 682 726 813 837 1023 1089 1626 1674 2046 2178 2439 2981 3069 3267 3751 4878 5962 6138 6534 7317 7502 8401 8943 9207 11253 14634 16802 17886 18414 22506 25203 26829 32791 33759 50406 53658 65582 67518 75609 80487 92411 98373 101277 151218 160974 184822 196746 202554 226827 277233 295119 453654 554466 590238 831699 885357 1016521 1663398 1770714 2033042 2495097 3049563 4990194 6099126 9148689 18297378 27446067 54892134