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2079438228 = 2232719741887
BaseRepresentation
bin111101111110001…
…1011010110010100
312100220211101222200
41323330123112110
513224314010403
6542201324500
7102346635060
oct17374332624
95326741880
102079438228
1197787479a
124a0496730
13271a6bb2a
1415a256aa0
15c2854ca3
hex7bf1b594

2079438228 has 72 divisors (see below), whose sum is σ = 6037903872. Its totient is φ = 591095232.

The previous prime is 2079438227. The next prime is 2079438239. The reversal of 2079438228 is 8228349702.

2079438228 is a `hidden beast` number, since 207 + 9 + 438 + 2 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079438227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28701 + ... + 70587.

It is an arithmetic number, because the mean of its divisors is an integer number (83859776).

Almost surely, 22079438228 is an apocalyptic number.

2079438228 is a gapful number since it is divisible by the number (28) 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 2079438228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3018951936).

2079438228 is an abundant number, since it is smaller than the sum of its proper divisors (3958465644).

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

2079438228 is a wasteful number, since it uses less digits than its factorization.

2079438228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42101 (or 42096 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 2079438228 is about 45600.8577550905. The cubic root of 2079438228 is about 1276.3859291615.

The spelling of 2079438228 in words is "two billion, seventy-nine million, four hundred thirty-eight thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 197 252 394 591 788 1182 1379 1773 2364 2758 3546 4137 5516 7092 8274 12411 16548 24822 41887 49644 83774 125661 167548 251322 293209 376983 502644 586418 753966 879627 1172836 1507932 1759254 2638881 3518508 5277762 8251739 10555524 16503478 24755217 33006956 49510434 57762173 74265651 99020868 115524346 148531302 173286519 231048692 297062604 346573038 519859557 693146076 1039719114 2079438228