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5204976 = 243722213
BaseRepresentation
bin10011110110101111110000
3100210102212220
4103312233300
52313024401
6303321040
762145600
oct23665760
910712786
105204976
112a35637
1218b0180
13110318a
14996c00
156cc336
hex4f6bf0

5204976 has 60 divisors (see below), whose sum is σ = 15648552. Its totient is φ = 1486464.

The previous prime is 5204959. The next prime is 5204977. The reversal of 5204976 is 6794025.

5204976 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5204977) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1246 + ... + 3458.

Almost surely, 25204976 is an apocalyptic number.

5204976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5204976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824276).

5204976 is an abundant number, since it is smaller than the sum of its proper divisors (10443576).

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

5204976 is a wasteful number, since it uses less digits than its factorization.

5204976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2238 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5204976 is about 2281.4416494839. The cubic root of 5204976 is about 173.3030650632.

It can be divided in two parts, 52049 and 76, that added together give a palindrome (52125).

The spelling of 5204976 in words is "five million, two hundred four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2213 2352 4426 6639 8852 13278 15491 17704 26556 30982 35408 46473 53112 61964 92946 106224 108437 123928 185892 216874 247856 325311 371784 433748 650622 743568 867496 1301244 1734992 2602488 5204976