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5247424 = 267131753
BaseRepresentation
bin10100000001000111000000
3100212121010001
4110001013000
52320404144
6304245344
762413420
oct24010700
910777101
105247424
112a64516
121910854
1311195b0
149a8480
156d9bd4
hex5011c0

5247424 has 112 divisors (see below), whose sum is σ = 13825728. Its totient is φ = 1916928.

The previous prime is 5247421. The next prime is 5247433. The reversal of 5247424 is 4247425.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 52 + 220 + 42 + 73 + 43 + 222 + 46 .

It is a junction number, because it is equal to n+sod(n) for n = 5247392 and 5247401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5247421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98982 + ... + 99034.

It is an arithmetic number, because the mean of its divisors is an integer number (123444).

Almost surely, 25247424 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 5247424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912864).

5247424 is an abundant number, since it is smaller than the sum of its proper divisors (8578304).

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

5247424 is a wasteful number, since it uses less digits than its factorization.

5247424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 92 counting only the distinct ones).

The product of its digits is 8960, while the sum is 28.

The square root of 5247424 is about 2290.7256492212. The cubic root of 5247424 is about 173.7729014203.

Subtracting from 5247424 its reverse (4247425), we obtain a palindrome (999999).

It can be divided in two parts, 5247 and 424, that added together give a triangular number (5671 = T106).

The spelling of 5247424 in words is "five million, two hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 53 56 64 68 91 104 106 112 119 136 182 208 212 221 224 238 272 364 371 416 424 442 448 476 544 689 728 742 832 848 884 901 952 1088 1378 1456 1484 1547 1696 1768 1802 1904 2756 2912 2968 3094 3392 3536 3604 3808 4823 5512 5824 5936 6188 6307 7072 7208 7616 9646 11024 11713 11872 12376 12614 14144 14416 19292 22048 23426 23744 24752 25228 28832 38584 44096 46852 49504 50456 57664 77168 81991 93704 99008 100912 154336 163982 187408 201824 308672 327964 374816 403648 655928 749632 1311856 2623712 5247424