Search a number
-
+
5040312 = 233232397
BaseRepresentation
bin10011001110100010111000
3100111002000020
4103032202320
52242242222
6300010440
760561534
oct23164270
910432006
105040312
112932952
121830a20
131076244
14952bc4
1569865c
hex4ce8b8

5040312 has 48 divisors (see below), whose sum is σ = 13205640. Its totient is φ = 1603008.

The previous prime is 5040257. The next prime is 5040317. The reversal of 5040312 is 2130405.

It is a junction number, because it is equal to n+sod(n) for n = 5040291 and 5040300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5040317) 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 11 ways as a sum of consecutive naturals, for example, 12498 + ... + 12894.

Almost surely, 25040312 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 5040312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602820).

5040312 is an abundant number, since it is smaller than the sum of its proper divisors (8165328).

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

5040312 is a wasteful number, since it uses less digits than its factorization.

5040312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 5040312 is about 2245.0639189119. The cubic root of 5040312 is about 171.4559154795.

Adding to 5040312 its reverse (2130405), we get a palindrome (7170717).

The spelling of 5040312 in words is "five million, forty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 397 529 552 794 1058 1191 1587 1588 2116 2382 3174 3176 4232 4764 6348 9131 9528 12696 18262 27393 36524 54786 73048 109572 210013 219144 420026 630039 840052 1260078 1680104 2520156 5040312