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4247424 = 27331229
BaseRepresentation
bin10000001100111110000000
321222210101000
4100030332000
52041404144
6231012000
751050106
oct20147600
97883330
104247424
112441175
12150a000
13b5938c
147c7c76
1558d769
hex40cf80

4247424 has 64 divisors (see below), whose sum is σ = 12546000. Its totient is φ = 1414656.

The previous prime is 4247417. The next prime is 4247429.

4247424 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×42474242 = 36081221271552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4247429) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2842 + ... + 4070.

Almost surely, 24247424 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 4247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6273000).

4247424 is an abundant number, since it is smaller than the sum of its proper divisors (8298576).

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

4247424 is a wasteful number, since it uses less digits than its factorization.

4247424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1234 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 4247424 is about 2060.9279463387. The cubic root of 4247424 is about 161.9478570183.

The spelling of 4247424 in words is "four million, two hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1229 1728 2458 3456 3687 4916 7374 9832 11061 14748 19664 22122 29496 33183 39328 44244 58992 66366 78656 88488 117984 132732 157312 176976 235968 265464 353952 471936 530928 707904 1061856 1415808 2123712 4247424