Search a number
-
+
5000032 = 253741103
BaseRepresentation
bin10011000100101101100000
3100102000202101
4103010231200
52240000112
6255100144
760333232
oct23045540
910360671
105000032
112905664
121811654
131060acb
14942252
1568b757
hex4c4b60

5000032 has 48 divisors (see below), whose sum is σ = 10456992. Its totient is φ = 2350080.

The previous prime is 5000011. The next prime is 5000077. The reversal of 5000032 is 2300005.

It is a junction number, because it is equal to n+sod(n) for n = 4999982 and 5000018.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48493 + ... + 48595.

It is an arithmetic number, because the mean of its divisors is an integer number (217854).

Almost surely, 25000032 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 5000032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5228496).

5000032 is an abundant number, since it is smaller than the sum of its proper divisors (5456960).

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

5000032 is a wasteful number, since it uses less digits than its factorization.

5000032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 10.

The square root of 5000032 is about 2236.0751329059. The cubic root of 5000032 is about 170.9979594618.

Adding to 5000032 its reverse (2300005), we get a palindrome (7300037).

It can be divided in two parts, 500003 and 2, that added together give a palindrome (500005).

The spelling of 5000032 in words is "five million, thirty-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 8 16 32 37 41 74 82 103 148 164 206 296 328 412 592 656 824 1184 1312 1517 1648 3034 3296 3811 4223 6068 7622 8446 12136 15244 16892 24272 30488 33784 48544 60976 67568 121952 135136 156251 312502 625004 1250008 2500016 5000032