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5005812 = 2237232591
BaseRepresentation
bin10011000110000111110100
3100102022200110
4103012013310
52240141222
6255143020
760356130
oct23060764
910368613
105005812
112909a39
121814a70
131063626
149443c0
1568d30c
hex4c61f4

5005812 has 48 divisors (see below), whose sum is σ = 13934592. Its totient is φ = 1367520.

The previous prime is 5005799. The next prime is 5005817. The reversal of 5005812 is 2185005.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5005817) by changing a digit.

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, 637 + ... + 3227.

It is an arithmetic number, because the mean of its divisors is an integer number (290304).

Almost surely, 25005812 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 5005812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6967296).

5005812 is an abundant number, since it is smaller than the sum of its proper divisors (8928780).

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

5005812 is a wasteful number, since it uses less digits than its factorization.

5005812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2628 (or 2626 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 5005812 is about 2237.3672027631. The cubic root of 5005812 is about 171.0638248803.

The spelling of 5005812 in words is "five million, five thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 2591 5182 7773 10364 15546 18137 31092 36274 54411 59593 72548 108822 119186 178779 217644 238372 357558 417151 715116 834302 1251453 1668604 2502906 5005812