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5318144 = 29131747
BaseRepresentation
bin10100010010011000000000
3101000012010022
4110102120000
52330140034
6305553012
763126536
oct24223000
911005108
105318144
113002667
121945768
131142840
149c6156
15700b2e
hex512600

5318144 has 80 divisors (see below), whose sum is σ = 12374208. Its totient is φ = 2260992.

The previous prime is 5318141. The next prime is 5318149. The reversal of 5318144 is 4418135.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5318141) 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, 113129 + ... + 113175.

Almost surely, 25318144 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 5318144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6187104).

5318144 is an abundant number, since it is smaller than the sum of its proper divisors (7056064).

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

5318144 is a wasteful number, since it uses less digits than its factorization.

5318144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 5318144 is about 2306.1101448110. The cubic root of 5318144 is about 174.5500714267.

Subtracting from 5318144 its reverse (4418135), we obtain a palindrome (900009).

The spelling of 5318144 in words is "five million, three hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 17 26 32 34 47 52 64 68 94 104 128 136 188 208 221 256 272 376 416 442 512 544 611 752 799 832 884 1088 1222 1504 1598 1664 1768 2176 2444 3008 3196 3328 3536 4352 4888 6016 6392 6656 7072 8704 9776 10387 12032 12784 14144 19552 20774 24064 25568 28288 39104 41548 51136 56576 78208 83096 102272 113152 156416 166192 204544 312832 332384 409088 664768 1329536 2659072 5318144