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5162064 = 243414361
BaseRepresentation
bin10011101100010001010000
3100201021000120
4103230101100
52310141224
6302350240
761606515
oct23542120
910637016
105162064
112a06376
12188b380
1310b979b
1498530c
156be779
hex4ec450

5162064 has 80 divisors (see below), whose sum is σ = 14207424. Its totient is φ = 1612800.

The previous prime is 5162063. The next prime is 5162071. The reversal of 5162064 is 4602615.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5162063) 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, 84594 + ... + 84654.

Almost surely, 25162064 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 5162064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103712).

5162064 is an abundant number, since it is smaller than the sum of its proper divisors (9045360).

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

5162064 is a wasteful number, since it uses less digits than its factorization.

5162064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5162064 is about 2272.0176055656. The cubic root of 5162064 is about 172.8254892098.

Adding to 5162064 its reverse (4602615), we get a palindrome (9764679).

It can be divided in two parts, 516 and 2064, that multiplied together give a square (1065024 = 10322).

The spelling of 5162064 in words is "five million, one hundred sixty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 43 48 61 82 86 122 123 129 164 172 183 244 246 258 328 344 366 488 492 516 656 688 732 976 984 1032 1464 1763 1968 2064 2501 2623 2928 3526 5002 5246 5289 7052 7503 7869 10004 10492 10578 14104 15006 15738 20008 20984 21156 28208 30012 31476 40016 41968 42312 60024 62952 84624 107543 120048 125904 215086 322629 430172 645258 860344 1290516 1720688 2581032 5162064