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5704512 = 263113773
BaseRepresentation
bin10101110000101101000000
3101201211010020
4111300231000
52430021022
6322133440
766326142
oct25605500
911654106
105704512
113246980
121ab1280
131249668
14a86c92
1577a35c
hex570b40

5704512 has 112 divisors (see below), whose sum is σ = 17141952. Its totient is φ = 1658880.

The previous prime is 5704499. The next prime is 5704513. The reversal of 5704512 is 2154075.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5704513) 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, 78108 + ... + 78180.

Almost surely, 25704512 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 5704512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8570976).

5704512 is an abundant number, since it is smaller than the sum of its proper divisors (11437440).

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

5704512 is a wasteful number, since it uses less digits than its factorization.

5704512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 5704512 is about 2388.4120247562. The cubic root of 5704512 is about 178.6787200106.

Adding to 5704512 its reverse (2154075), we get a palindrome (7858587).

It can be divided in two parts, 5704 and 512, that added together give a triangular number (6216 = T111).

The spelling of 5704512 in words is "five million, seven hundred four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 73 74 88 96 111 132 146 148 176 192 219 222 264 292 296 352 407 438 444 528 584 592 704 803 814 876 888 1056 1168 1184 1221 1606 1628 1752 1776 2112 2336 2368 2409 2442 2701 3212 3256 3504 3552 4672 4818 4884 5402 6424 6512 7008 7104 8103 9636 9768 10804 12848 13024 14016 16206 19272 19536 21608 25696 26048 29711 32412 38544 39072 43216 51392 59422 64824 77088 78144 86432 89133 118844 129648 154176 172864 178266 237688 259296 356532 475376 518592 713064 950752 1426128 1901504 2852256 5704512