Search a number
-
+
5056506 = 2347413
BaseRepresentation
bin10011010010011111111010
3100111220020000
4103102133322
52243302011
6300213430
760660000
oct23223772
910456200
105056506
112944034
12183a276
131080720
14958a70
1569d356
hex4d27fa

5056506 has 100 divisors (see below), whose sum is σ = 14234682. Its totient is φ = 1333584.

The previous prime is 5056501. The next prime is 5056517. The reversal of 5056506 is 6056505.

5056506 is a `hidden beast` number, since 5 + 0 + 5 + 650 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4862025 + 194481 = 2205^2 + 441^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 5056506.

It is not an unprimeable number, because it can be changed into a prime (5056501) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 388956 + ... + 388968.

Almost surely, 25056506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5056506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7117341).

5056506 is an abundant number, since it is smaller than the sum of its proper divisors (9178176).

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

5056506 is an equidigital number, since it uses as much as digits as its factorization.

5056506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 5056506 is about 2248.6676054944. The cubic root of 5056506 is about 171.6393425368.

Subtracting 5056506 from its reverse (6056505), we obtain a palindrome (999999).

The spelling of 5056506 in words is "five million, fifty-six thousand, five hundred six".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 343 351 378 441 546 567 637 686 702 819 882 1029 1053 1134 1274 1323 1638 1911 2058 2106 2401 2457 2646 3087 3822 3969 4459 4802 4914 5733 6174 7203 7371 7938 8918 9261 11466 13377 14406 14742 17199 18522 21609 26754 27783 31213 34398 40131 43218 51597 55566 62426 64827 80262 93639 103194 120393 129654 187278 194481 240786 280917 361179 388962 561834 722358 842751 1685502 2528253 5056506