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4827264 = 27313967
BaseRepresentation
bin10010011010100010000000
3100002020202120
4102122202000
52213433024
6251244240
756013441
oct22324200
910066676
104827264
1127a7882
121749680
131000290
148d92c8
15655479
hex49a880

4827264 has 64 divisors (see below), whose sum is σ = 13823040. Its totient is φ = 1483776.

The previous prime is 4827259. The next prime is 4827287. The reversal of 4827264 is 4627284.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4509 + ... + 5475.

It is an arithmetic number, because the mean of its divisors is an integer number (215985).

Almost surely, 24827264 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 4827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911520).

4827264 is an abundant number, since it is smaller than the sum of its proper divisors (8995776).

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

4827264 is a wasteful number, since it uses less digits than its factorization.

4827264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 985 counting only the distinct ones).

The product of its digits is 21504, while the sum is 33.

The square root of 4827264 is about 2197.1035478557. The cubic root of 4827264 is about 169.0053101047.

The spelling of 4827264 in words is "four million, eight hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 967 1248 1664 1934 2496 2901 3868 4992 5802 7736 11604 12571 15472 23208 25142 30944 37713 46416 50284 61888 75426 92832 100568 123776 150852 185664 201136 301704 371328 402272 603408 804544 1206816 1609088 2413632 4827264