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5091688 = 237231419
BaseRepresentation
bin10011011011000101101000
3100120200111001
4103123011220
52300413223
6301044344
761164400
oct23330550
910520431
105091688
112968508
1218566b4
131093744
14967800
156a89ad
hex4db168

5091688 has 48 divisors (see below), whose sum is σ = 11491200. Its totient is φ = 2106720.

The previous prime is 5091661. The next prime is 5091689. The reversal of 5091688 is 8861905.

It is not an unprimeable number, because it can be changed into a prime (5091689) 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, 11943 + ... + 12361.

It is an arithmetic number, because the mean of its divisors is an integer number (239400).

Almost surely, 25091688 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 5091688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745600).

5091688 is an abundant number, since it is smaller than the sum of its proper divisors (6399512).

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

5091688 is a wasteful number, since it uses less digits than its factorization.

5091688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 37.

The square root of 5091688 is about 2256.4768999482. The cubic root of 5091688 is about 172.0364984740.

It can be divided in two parts, 509 and 1688, that added together give a cube (2197 = 133).

The spelling of 5091688 in words is "five million, ninety-one thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 419 434 838 868 1519 1676 1736 2933 3038 3352 5866 6076 11732 12152 12989 20531 23464 25978 41062 51956 82124 90923 103912 164248 181846 363692 636461 727384 1272922 2545844 5091688