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2852401230 = 23457271867
BaseRepresentation
bin1010101000000100…
…0011000001001110
321100210021222220000
42222001003001032
521320203314410
61151012505130
7130454003400
oct25201030116
97323258800
102852401230
111234119298
1267731b1a6
13365c465a3
141d0b84b70
1511a63adc0
hexaa04304e

2852401230 has 120 divisors (see below), whose sum is σ = 8922124728. Its totient is φ = 651968352.

The previous prime is 2852401229. The next prime is 2852401261. The reversal of 2852401230 is 321042582.

2852401230 is a `hidden beast` number, since 28 + 5 + 2 + 401 + 230 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2852401194 and 2852401203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3757 + ... + 75623.

Almost surely, 22852401230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2852401230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4461062364).

2852401230 is an abundant number, since it is smaller than the sum of its proper divisors (6069723498).

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

2852401230 is a wasteful number, since it uses less digits than its factorization.

2852401230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71900 (or 71884 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2852401230 is about 53407.8761045597. The cubic root of 2852401230 is about 1418.1980101365.

The spelling of 2852401230 in words is "two billion, eight hundred fifty-two million, four hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 81 90 98 105 126 135 147 162 189 210 245 270 294 315 378 405 441 490 567 630 735 810 882 945 1134 1323 1470 1890 2205 2646 2835 3969 4410 5670 6615 7938 13230 19845 39690 71867 143734 215601 359335 431202 503069 646803 718670 1006138 1078005 1293606 1509207 1940409 2156010 2515345 3018414 3234015 3521483 3880818 4527621 5030690 5821227 6468030 7042966 7546035 9055242 9702045 10564449 11642454 13582863 15092070 17607415 19404090 21128898 22638105 27165726 29106135 31693347 35214830 40748589 45276210 52822245 58212270 63386694 67914315 81497178 95080041 105644490 135828630 158466735 190160082 203742945 285240123 316933470 407485890 475400205 570480246 950800410 1426200615 2852401230