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4273664 = 2917491
BaseRepresentation
bin10000010011011000000000
322001010100212
4100103120000
52043224124
6231333252
751216443
oct20233000
98033325
104273664
11245995a
121521228
13b682c5
147d365a
1559640e
hex413600

4273664 has 40 divisors (see below), whose sum is σ = 9059688. Its totient is φ = 2007040.

The previous prime is 4273631. The next prime is 4273667. The reversal of 4273664 is 4663724.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 47 + 213 + 73 + 32 + 65 + 66 + 411 .

It is a self number, because there is not a number n which added to its sum of digits gives 4273664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4273667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8459 + ... + 8949.

Almost surely, 24273664 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 4273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529844).

4273664 is an abundant number, since it is smaller than the sum of its proper divisors (4786024).

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

4273664 is an equidigital number, since it uses as much as digits as its factorization.

4273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 510 counting only the distinct ones).

The product of its digits is 24192, while the sum is 32.

The square root of 4273664 is about 2067.2842088112. The cubic root of 4273664 is about 162.2806697783.

The spelling of 4273664 in words is "four million, two hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 491 512 544 982 1088 1964 2176 3928 4352 7856 8347 8704 15712 16694 31424 33388 62848 66776 125696 133552 251392 267104 534208 1068416 2136832 4273664