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2848638540 = 22351141910301
BaseRepresentation
bin1010100111001010…
…1100011001001100
321100112012211110010
42221302230121030
521313222413130
61150400113220
7130410012426
oct25162543114
97315184403
102848638540
111231a89330
12676005810
13365229a47
141d0485816
1511a1460b0
hexa9cac64c

2848638540 has 96 divisors (see below), whose sum is σ = 8722909440. Its totient is φ = 688864000.

The previous prime is 2848638523. The next prime is 2848638553. The reversal of 2848638540 is 458368482.

It is a super-2 number, since 2×28486385402 = 16229483063146663200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2848638540.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271390 + ... + 281690.

It is an arithmetic number, because the mean of its divisors is an integer number (90863640).

Almost surely, 22848638540 is an apocalyptic number.

2848638540 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 2848638540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4361454720).

2848638540 is an abundant number, since it is smaller than the sum of its proper divisors (5874270900).

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

2848638540 is a wasteful number, since it uses less digits than its factorization.

2848638540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10743 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 48.

The square root of 2848638540 is about 53372.6384957686. The cubic root of 2848638540 is about 1417.5741395610.

The spelling of 2848638540 in words is "two billion, eight hundred forty-eight million, six hundred thirty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 419 660 838 1257 1676 2095 2514 4190 4609 5028 6285 8380 9218 10301 12570 13827 18436 20602 23045 25140 27654 30903 41204 46090 51505 55308 61806 69135 92180 103010 113311 123612 138270 154515 206020 226622 276540 309030 339933 453244 566555 618060 679866 1133110 1359732 1699665 2266220 3399330 4316119 6798660 8632238 12948357 17264476 21580595 25896714 43161190 47477309 51793428 64741785 86322380 94954618 129483570 142431927 189909236 237386545 258967140 284863854 474773090 569727708 712159635 949546180 1424319270 2848638540