Search a number
-
+
5076624 = 243729521
BaseRepresentation
bin10011010111011010010000
3100112220211010
4103113122100
52244422444
6300450520
761102440
oct23273220
910486733
105076624
112958163
121849a40
131089927
14962120
156a42b9
hex4d7690

5076624 has 80 divisors (see below), whose sum is σ = 15534720. Its totient is φ = 1397760.

The previous prime is 5076613. The next prime is 5076637. The reversal of 5076624 is 4266705.

It is a super-2 number, since 2×50766242 = 51544222474752, which contains 22 as substring.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 5076591 and 5076600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9484 + ... + 10004.

It is an arithmetic number, because the mean of its divisors is an integer number (194184).

Almost surely, 25076624 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 5076624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7767360).

5076624 is an abundant number, since it is smaller than the sum of its proper divisors (10458096).

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

5076624 is a wasteful number, since it uses less digits than its factorization.

5076624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5076624 is about 2253.1364805533. The cubic root of 5076624 is about 171.8666715083.

The spelling of 5076624 in words is "five million, seventy-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 521 609 696 812 1042 1218 1392 1563 1624 2084 2436 3126 3248 3647 4168 4872 6252 7294 8336 9744 10941 12504 14588 15109 21882 25008 29176 30218 43764 45327 58352 60436 87528 90654 105763 120872 175056 181308 211526 241744 317289 362616 423052 634578 725232 846104 1269156 1692208 2538312 5076624