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2748564 = 2232713839
BaseRepresentation
bin1010011111000010010100
312011122022200
422133002110
51200423224
6134524500
732235210
oct12370224
95148280
102748564
111608045
12b06730
13753090
14517940
153945c9
hex29f094

2748564 has 72 divisors (see below), whose sum is σ = 8561280. Its totient is φ = 724032.

The previous prime is 2748563. The next prime is 2748583. The reversal of 2748564 is 4658472.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a d-powerful number, because it can be written as 29 + 73 + 47 + 8 + 55 + 68 + 410 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2748563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2857 + ... + 3695.

22748564 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 2748564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280640).

2748564 is an abundant number, since it is smaller than the sum of its proper divisors (5812716).

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

2748564 is a wasteful number, since it uses less digits than its factorization.

2748564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 864 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2748564 is about 1657.8793683498. The cubic root of 2748564 is about 140.0775760537.

The spelling of 2748564 in words is "two million, seven hundred forty-eight thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 839 1092 1638 1678 2517 3276 3356 5034 5873 7551 10068 10907 11746 15102 17619 21814 23492 30204 32721 35238 43628 52857 65442 70476 76349 98163 105714 130884 152698 196326 211428 229047 305396 392652 458094 687141 916188 1374282 2748564