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5144064 = 29317197
BaseRepresentation
bin10011100111111000000000
3100200100022220
4103213320000
52304102224
6302131040
761503162
oct23477000
910610286
105144064
1129a38a2
121880a80
1310b1533
1497c932
156b9279
hex4e7e00

5144064 has 80 divisors (see below), whose sum is σ = 14583888. Its totient is φ = 1605632.

The previous prime is 5144053. The next prime is 5144077. The reversal of 5144064 is 4604415.

It is a super-2 number, since 2×51440642 = 52922788872192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 26014 + ... + 26210.

Almost surely, 25144064 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 5144064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291944).

5144064 is an abundant number, since it is smaller than the sum of its proper divisors (9439824).

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

5144064 is a wasteful number, since it uses less digits than its factorization.

5144064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 5144064 is about 2268.0529094358. The cubic root of 5144064 is about 172.6243757496.

Adding to 5144064 its reverse (4604415), we get a palindrome (9748479).

The spelling of 5144064 in words is "five million, one hundred forty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 197 204 256 272 384 394 408 512 544 591 768 788 816 1088 1182 1536 1576 1632 2176 2364 3152 3264 3349 4352 4728 6304 6528 6698 8704 9456 10047 12608 13056 13396 18912 20094 25216 26112 26792 37824 40188 50432 53584 75648 80376 100864 107168 151296 160752 214336 302592 321504 428672 643008 857344 1286016 1714688 2572032 5144064