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4253664 = 25359751
BaseRepresentation
bin10000001110011111100000
322000002221010
4100032133200
52042104124
6231100520
751104232
oct20163740
98002833
104253664
112445928
121511740
13b5c17c
147ca252
15590529
hex40e7e0

4253664 has 48 divisors (see below), whose sum is σ = 11370240. Its totient is φ = 1392000.

The previous prime is 4253653. The next prime is 4253671. The reversal of 4253664 is 4663524.

It is a tau number, because it is divible by the number of its divisors (48).

It is a d-powerful number, because it can be written as 44 + 23 + 5 + 310 + 6 + 62 + 411 .

It is a congruent number.

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, 5289 + ... + 6039.

It is an arithmetic number, because the mean of its divisors is an integer number (236880).

Almost surely, 24253664 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 4253664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685120).

4253664 is an abundant number, since it is smaller than the sum of its proper divisors (7116576).

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

4253664 is a wasteful number, since it uses less digits than its factorization.

4253664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 815 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 4253664 is about 2062.4412718912. The cubic root of 4253664 is about 162.0271254685.

The spelling of 4253664 in words is "four million, two hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 751 944 1416 1502 1888 2253 2832 3004 4506 5664 6008 9012 12016 18024 24032 36048 44309 72096 88618 132927 177236 265854 354472 531708 708944 1063416 1417888 2126832 4253664