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2748864 = 263103139
BaseRepresentation
bin1010011111000111000000
312011122201210
422133013000
51200430424
6134530120
732236116
oct12370700
95148653
102748864
111608298
12b06940
13753261
14517ab6
15394729
hex29f1c0

2748864 has 56 divisors (see below), whose sum is σ = 7396480. Its totient is φ = 900864.

The previous prime is 2748859. The next prime is 2748919. The reversal of 2748864 is 4688472.

It is a super-3 number, since 3×27488643 = 62313337935377989632, which contains 333 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, 19707 + ... + 19845.

It is an arithmetic number, because the mean of its divisors is an integer number (132080).

22748864 is an apocalyptic number.

2748864 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 2748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3698240).

2748864 is an abundant number, since it is smaller than the sum of its proper divisors (4647616).

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

2748864 is a wasteful number, since it uses less digits than its factorization.

2748864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 247 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 2748864 is about 1657.9698429103. The cubic root of 2748864 is about 140.0826722595.

The spelling of 2748864 in words is "two million, seven hundred forty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 103 139 192 206 278 309 412 417 556 618 824 834 1112 1236 1648 1668 2224 2472 3296 3336 4448 4944 6592 6672 8896 9888 13344 14317 19776 26688 28634 42951 57268 85902 114536 171804 229072 343608 458144 687216 916288 1374432 2748864