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54966924 = 2234198929
BaseRepresentation
bin1101000110101…
…1101010001100
310211102121110000
43101223222030
5103032420144
65242044300
71235132265
oct321535214
9124377400
1054966924
1129033511
12164a9690
13b50710c
14742b96c
154c5b769
hex346ba8c

54966924 has 60 divisors (see below), whose sum is σ = 151274200. Its totient is φ = 17356032.

The previous prime is 54966913. The next prime is 54966953. The reversal of 54966924 is 42966945.

54966924 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 54966924.

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 19 ways as a sum of consecutive naturals, for example, 1692 + ... + 10620.

Almost surely, 254966924 is an apocalyptic number.

54966924 is a gapful number since it is divisible by the number (54) 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 54966924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75637100).

54966924 is an abundant number, since it is smaller than the sum of its proper divisors (96307276).

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

54966924 is a wasteful number, since it uses less digits than its factorization.

54966924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8964 (or 8953 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 54966924 is about 7413.9681682619. The cubic root of 54966924 is about 380.2189965736.

The spelling of 54966924 in words is "fifty-four million, nine hundred sixty-six thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 684 1026 1539 2052 3078 6156 8929 17858 26787 35716 53574 80361 107148 160722 169651 241083 321444 339302 482166 508953 678604 723249 964332 1017906 1446498 1526859 2035812 2892996 3053718 4580577 6107436 9161154 13741731 18322308 27483462 54966924