Search a number
-
+
5017792 = 261337163
BaseRepresentation
bin10011001001000011000000
3100102221010011
4103021003000
52241032132
6255314304
760436063
oct23110300
910387104
105017792
112917a3a
12181b994
131068c10
149488da
15691b47
hex4c90c0

5017792 has 56 divisors (see below), whose sum is σ = 11080496. Its totient is φ = 2239488.

The previous prime is 5017769. The next prime is 5017811. The reversal of 5017792 is 2977105.

It is a super-3 number, since 3×50177923 (a number of 21 digits) contains 333 as substring.

It is an Ulam number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30703 + ... + 30865.

It is an arithmetic number, because the mean of its divisors is an integer number (197866).

Almost surely, 25017792 is an apocalyptic number.

5017792 is a gapful number since it is divisible by the number (52) 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 5017792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540248).

5017792 is an abundant number, since it is smaller than the sum of its proper divisors (6062704).

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

5017792 is a wasteful number, since it uses less digits than its factorization.

5017792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 5017792 is about 2240.0428567329. The cubic root of 5017792 is about 171.2001805105.

The spelling of 5017792 in words is "five million, seventeen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 148 163 208 296 326 416 481 592 652 832 962 1184 1304 1924 2119 2368 2608 3848 4238 5216 6031 7696 8476 10432 12062 15392 16952 24124 30784 33904 48248 67808 78403 96496 135616 156806 192992 313612 385984 627224 1254448 2508896 5017792