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4564672 = 26723443
BaseRepresentation
bin10001011010011011000000
322120220112221
4101122123000
52132032142
6241500424
753541040
oct21323300
98526487
104564672
112638562
121641714
13c3a8b8
1486b720
15602767
hex45a6c0

4564672 has 56 divisors (see below), whose sum is σ = 10826496. Its totient is φ = 1867008.

The previous prime is 4564669. The next prime is 4564697. The reversal of 4564672 is 2764654.

It is a tau number, because it is divible by the number of its divisors (56).

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, 10083 + ... + 10525.

Almost surely, 24564672 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 4564672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5413248).

4564672 is an abundant number, since it is smaller than the sum of its proper divisors (6261824).

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

4564672 is a wasteful number, since it uses less digits than its factorization.

4564672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 4564672 is about 2136.5093025775. The cubic root of 4564672 is about 165.8835007825.

The spelling of 4564672 in words is "four million, five hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 161 184 224 322 368 443 448 644 736 886 1288 1472 1772 2576 3101 3544 5152 6202 7088 10189 10304 12404 14176 20378 24808 28352 40756 49616 71323 81512 99232 142646 163024 198464 285292 326048 570584 652096 1141168 2282336 4564672