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2838990208 = 27172814643
BaseRepresentation
bin1010100100110111…
…1000110110000000
321022212001122102111
42221031320312000
521303240141313
61145413225104
7130232006245
oct25115706600
97285048374
102838990208
1112275993aa
12672932194
1336322c282
141cd0935cc
1511938c43d
hexa9378d80

2838990208 has 64 divisors (see below), whose sum is σ = 6011100720. Its totient is φ = 1330954240.

The previous prime is 2838990179. The next prime is 2838990239. The reversal of 2838990208 is 8020998382.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×28389902082 = 16119730802239766528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 609135 + ... + 613777.

Almost surely, 22838990208 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 2838990208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3005550360).

2838990208 is an abundant number, since it is smaller than the sum of its proper divisors (3172110512).

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

2838990208 is a wasteful number, since it uses less digits than its factorization.

2838990208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4955 (or 4943 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 49.

The square root of 2838990208 is about 53282.1753309679. The cubic root of 2838990208 is about 1415.9718891714.

The spelling of 2838990208 in words is "two billion, eight hundred thirty-eight million, nine hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 281 544 562 1088 1124 2176 2248 4496 4643 4777 8992 9286 9554 17984 18572 19108 35968 37144 38216 74288 76432 78931 148576 152864 157862 297152 305728 315724 594304 611456 631448 1262896 1304683 2525792 2609366 5051584 5218732 10103168 10437464 20874928 22179611 41749856 44359222 83499712 88718444 166999424 177436888 354873776 709747552 1419495104 2838990208