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2838012528 = 243136836659
BaseRepresentation
bin1010100100101000…
…1010001001110000
321022210012222022010
42221022022021300
521303012400103
61145340242520
7130220465001
oct25112121160
97283188263
102838012528
111226a908aa
12672540440
13362c79270
141cccbb1a8
15119247903
hexa928a270

2838012528 has 80 divisors (see below), whose sum is σ = 7908243840. Its totient is φ = 871825152.

The previous prime is 2838012491. The next prime is 2838012533. The reversal of 2838012528 is 8252108382.

It is a happy number.

It is a Cunningham number, because it is equal to 532732-1.

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

It is a congruent number.

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, 422863 + ... + 429521.

It is an arithmetic number, because the mean of its divisors is an integer number (98853048).

Almost surely, 22838012528 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 2838012528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954121920).

2838012528 is an abundant number, since it is smaller than the sum of its proper divisors (5070231312).

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

2838012528 is a wasteful number, since it uses less digits than its factorization.

2838012528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7366 (or 7360 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 2838012528 is about 53272.9999906144. Note that the first 5 decimals coincide. The cubic root of 2838012528 is about 1415.8093282794.

The spelling of 2838012528 in words is "two billion, eight hundred thirty-eight million, twelve thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 683 1366 2049 2732 4098 5464 6659 8196 8879 10928 13318 16392 17758 19977 26636 26637 32784 35516 39954 53272 53274 71032 79908 86567 106544 106548 142064 159816 173134 213096 259701 319632 346268 426192 519402 692536 1038804 1385072 2077608 4155216 4548097 9096194 13644291 18192388 27288582 36384776 54577164 59125261 72769552 109154328 118250522 177375783 218308656 236501044 354751566 473002088 709503132 946004176 1419006264 2838012528