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5181936 = 243891213
BaseRepresentation
bin10011110001000111110000
3100202021021120
4103301013300
52311310221
6303022240
762021454
oct23610760
910667246
105181936
112a1a2a1
12189a980
1310c5846
1498c664
156c55c6
hex4f11f0

5181936 has 40 divisors (see below), whose sum is σ = 13548240. Its totient is φ = 1706496.

The previous prime is 5181919. The next prime is 5181941. The reversal of 5181936 is 6391815.

5181936 is nontrivially palindromic in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 5181897 and 5181906.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 3666 + ... + 4878.

It is an arithmetic number, because the mean of its divisors is an integer number (338706).

Almost surely, 25181936 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 5181936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6774120).

5181936 is an abundant number, since it is smaller than the sum of its proper divisors (8366304).

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

5181936 is a wasteful number, since it uses less digits than its factorization.

5181936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1313 (or 1307 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 5181936 is about 2276.3866103982. The cubic root of 5181936 is about 173.0469762280.

The spelling of 5181936 in words is "five million, one hundred eighty-one thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1213 1424 2136 2426 3639 4272 4852 7278 9704 14556 19408 29112 58224 107957 215914 323871 431828 647742 863656 1295484 1727312 2590968 5181936