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2042288136 = 233274678677
BaseRepresentation
bin111100110111010…
…1101100000001000
312021022220222122100
41321232231200020
513140311210021
6534353153400
7101416106550
oct17156554010
95238828570
102042288136
11958900339
1248bb5b860
13267162525
14155346160
15be467626
hex79bad808

2042288136 has 96 divisors (see below), whose sum is σ = 6335634240. Its totient is φ = 582194304.

The previous prime is 2042288111. The next prime is 2042288147. The reversal of 2042288136 is 6318822402.

2042288136 is a `hidden beast` number, since 20 + 422 + 88 + 136 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2042288136.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231030 + ... + 239706.

It is an arithmetic number, because the mean of its divisors is an integer number (65996190).

Almost surely, 22042288136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2042288136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167817120).

2042288136 is an abundant number, since it is smaller than the sum of its proper divisors (4293346104).

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

2042288136 is a wasteful number, since it uses less digits than its factorization.

2042288136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9163 (or 9156 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2042288136 is about 45191.6821550161. The cubic root of 2042288136 is about 1268.7391408844.

The spelling of 2042288136 in words is "two billion, forty-two million, two hundred eighty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 467 504 934 1401 1868 2802 3269 3736 4203 5604 6538 8406 8677 9807 11208 13076 16812 17354 19614 26031 26152 29421 33624 34708 39228 52062 58842 60739 69416 78093 78456 104124 117684 121478 156186 182217 208248 235368 242956 312372 364434 485912 546651 624744 728868 1093302 1457736 2186604 4052159 4373208 8104318 12156477 16208636 24312954 28365113 32417272 36469431 48625908 56730226 72938862 85095339 97251816 113460452 145877724 170190678 226920904 255286017 291755448 340381356 510572034 680762712 1021144068 2042288136