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4472664 = 233779337
BaseRepresentation
bin10001000011111101011000
322102020100020
4101003331120
52121111124
6235510440
753005560
oct21037530
98366306
104472664
112585419
1215b8420
13c07a61
14845da0
155d5379
hex443f58

4472664 has 64 divisors (see below), whose sum is σ = 12979200. Its totient is φ = 1257984.

The previous prime is 4472651. The next prime is 4472687. The reversal of 4472664 is 4662744.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13104 + ... + 13440.

It is an arithmetic number, because the mean of its divisors is an integer number (202800).

Almost surely, 24472664 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 4472664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489600).

4472664 is an abundant number, since it is smaller than the sum of its proper divisors (8506536).

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

4472664 is a wasteful number, since it uses less digits than its factorization.

4472664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 4472664 is about 2114.8673717281. The cubic root of 4472664 is about 164.7613814371.

The spelling of 4472664 in words is "four million, four hundred seventy-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 158 168 237 316 337 474 553 632 674 948 1011 1106 1348 1659 1896 2022 2212 2359 2696 3318 4044 4424 4718 6636 7077 8088 9436 13272 14154 18872 26623 28308 53246 56616 79869 106492 159738 186361 212984 319476 372722 559083 638952 745444 1118166 1490888 2236332 4472664