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4279424 = 2767499
BaseRepresentation
bin10000010100110010000000
322001102021012
4100110302000
52043420144
6231420052
751242312
oct20246200
98042235
104279424
112463216
121524628
13b6ab06
147d57b2
15597e9e
hex414c80

4279424 has 32 divisors (see below), whose sum is σ = 8670000. Its totient is φ = 2103552.

The previous prime is 4279421. The next prime is 4279433. The reversal of 4279424 is 4249724.

It is a tau number, because it is divible by the number of its divisors (32).

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 45 + 221 + 75 + 93 + 45 + 221 + 48 .

It is not an unprimeable number, because it can be changed into a prime (4279421) 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, 8327 + ... + 8825.

Almost surely, 24279424 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 4279424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335000).

4279424 is an abundant number, since it is smaller than the sum of its proper divisors (4390576).

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

4279424 is an equidigital number, since it uses as much as digits as its factorization.

4279424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its digits is 16128, while the sum is 32.

The square root of 4279424 is about 2068.6768718193. The cubic root of 4279424 is about 162.3535437828.

The spelling of 4279424 in words is "four million, two hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 67 128 134 268 499 536 998 1072 1996 2144 3992 4288 7984 8576 15968 31936 33433 63872 66866 133732 267464 534928 1069856 2139712 4279424