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2872286040 = 2335138292221
BaseRepresentation
bin1010101100110011…
…1001101101011000
321102011201020201110
42223030321231120
521340301123130
61153003020320
7131115012531
oct25314715530
97364636643
102872286040
111244370018
12681b0a6a0
1336a0b9450
141d367d688
1511c267ab0
hexab339b58

2872286040 has 128 divisors (see below), whose sum is σ = 9295070400. Its totient is φ = 705853440.

The previous prime is 2872286033. The next prime is 2872286057. The reversal of 2872286040 is 406822782.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2872286040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1292130 + ... + 1294350.

Almost surely, 22872286040 is an apocalyptic number.

2872286040 is a gapful number since it is divisible by the number (20) 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 2872286040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647535200).

2872286040 is an abundant number, since it is smaller than the sum of its proper divisors (6422784360).

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

2872286040 is a wasteful number, since it uses less digits than its factorization.

2872286040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3077 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 2872286040 is about 53593.7126909491. The cubic root of 2872286040 is about 1421.4859205861.

The spelling of 2872286040 in words is "two billion, eight hundred seventy-two million, two hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 829 1560 1658 2221 2487 3316 4145 4442 4974 6632 6663 8290 8884 9948 10777 11105 12435 13326 16580 17768 19896 21554 22210 24870 26652 28873 32331 33160 33315 43108 44420 49740 53304 53885 57746 64662 66630 86216 86619 88840 99480 107770 115492 129324 133260 144365 161655 173238 215540 230984 258648 266520 288730 323310 346476 431080 433095 577460 646620 692952 866190 1154920 1293240 1732380 1841209 3464760 3682418 5523627 7364836 9206045 11047254 14729672 18412090 22094508 23935717 27618135 36824180 44189016 47871434 55236270 71807151 73648360 95742868 110472540 119678585 143614302 191485736 220945080 239357170 287228604 359035755 478714340 574457208 718071510 957428680 1436143020 2872286040