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54879714 = 2331989601
BaseRepresentation
bin1101000101011…
…0010111100010
310211021011211000
43101112113202
5103022122324
65240132430
71234320111
oct321262742
9124234730
1054879714
1128a83a3a
1216467116
13b4a6506
147407c78
154c409c9
hex34565e2

54879714 has 64 divisors (see below), whose sum is σ = 130032000. Its totient is φ = 17107200.

The previous prime is 54879701. The next prime is 54879761. The reversal of 54879714 is 41797845.

It is a happy number.

54879714 is a `hidden beast` number, since 548 + 7 + 97 + 14 = 666.

54879714 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (282240) is a multiple of the sum of its prime factors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 54879714.

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 31 ways as a sum of consecutive naturals, for example, 91014 + ... + 91614.

It is an arithmetic number, because the mean of its divisors is an integer number (2031750).

Almost surely, 254879714 is an apocalyptic number.

54879714 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 54879714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65016000).

54879714 is an abundant number, since it is smaller than the sum of its proper divisors (75152286).

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

54879714 is a wasteful number, since it uses less digits than its factorization.

54879714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 714 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 54879714 is about 7408.0843677701. The cubic root of 54879714 is about 380.0178061832.

The spelling of 54879714 in words is "fifty-four million, eight hundred seventy-nine thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 89 114 171 178 267 342 513 534 601 801 1026 1202 1602 1691 1803 2403 3382 3606 4806 5073 5409 10146 10818 11419 15219 16227 22838 30438 32454 34257 45657 53489 68514 91314 102771 106978 160467 205542 308313 320934 481401 616626 962802 1016291 1444203 2032582 2888406 3048873 6097746 9146619 18293238 27439857 54879714