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2838245064 = 2331759311731
BaseRepresentation
bin1010100100101100…
…0010111011001000
321022210122210021120
42221023002323020
521303042320224
61145345235240
7130222453644
oct25113027310
97283583246
102838245064
11122712a586
12672632b20
1336302b065
141ccd3bc24
15119291779
hexa92c2ec8

2838245064 has 64 divisors (see below), whose sum is σ = 7526312640. Its totient is φ = 888852480.

The previous prime is 2838245017. The next prime is 2838245101. The reversal of 2838245064 is 4605428382.

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, 236079 + ... + 247809.

It is an arithmetic number, because the mean of its divisors is an integer number (117598635).

Almost surely, 22838245064 is an apocalyptic number.

2838245064 is a gapful number since it is divisible by the number (24) 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 2838245064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3763156320).

2838245064 is an abundant number, since it is smaller than the sum of its proper divisors (4688067576).

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

2838245064 is a wasteful number, since it uses less digits than its factorization.

2838245064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12350 (or 12346 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 42.

The square root of 2838245064 is about 53275.1824398566. The cubic root of 2838245064 is about 1415.8479959084.

The spelling of 2838245064 in words is "two billion, eight hundred thirty-eight million, two hundred forty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 593 1186 1779 2372 3558 4744 7116 10081 11731 14232 20162 23462 30243 35193 40324 46924 60486 70386 80648 93848 120972 140772 199427 241944 281544 398854 598281 797708 1196562 1595416 2393124 4786248 6956483 13912966 20869449 27825932 41738898 55651864 83477796 118260211 166955592 236520422 354780633 473040844 709561266 946081688 1419122532 2838245064