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2028122824 = 2371310127583
BaseRepresentation
bin111100011100010…
…1011001011001000
312020100021022111011
41320320223023020
513123144412244
6533125413304
7101154521350
oct17070531310
95210238434
102028122824
11950905772
1248726a234
13264242aa0
141534d9b60
15bd0ba434
hex78e2b2c8

2028122824 has 64 divisors (see below), whose sum is σ = 4726794240. Its totient is φ = 794361600.

The previous prime is 2028122809. The next prime is 2028122849. The reversal of 2028122824 is 4282218202.

It is a super-2 number, since 2×20281228242 = 8226564378459469952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59737 + ... + 87319.

It is an arithmetic number, because the mean of its divisors is an integer number (73856160).

Almost surely, 22028122824 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 2028122824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2363397120).

2028122824 is an abundant number, since it is smaller than the sum of its proper divisors (2698671416).

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

2028122824 is a wasteful number, since it uses less digits than its factorization.

2028122824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27710 (or 27706 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 31.

The square root of 2028122824 is about 45034.6846774794. The cubic root of 2028122824 is about 1265.7990075796.

The spelling of 2028122824 in words is "two billion, twenty-eight million, one hundred twenty-two thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 101 104 182 202 364 404 707 728 808 1313 1414 2626 2828 5252 5656 9191 10504 18382 27583 36764 55166 73528 110332 193081 220664 358579 386162 717158 772324 1434316 1544648 2510053 2785883 2868632 5020106 5571766 10040212 11143532 19501181 20080424 22287064 36216479 39002362 72432958 78004724 144865916 156009448 253515353 289731832 507030706 1014061412 2028122824