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4993131 = 31113103113
BaseRepresentation
bin10011000011000001101011
3100101200021210
4103003001223
52234240011
6255004203
760304143
oct23030153
910350253
104993131
112900460
121809663
13105a920
1493d923
156896a6
hex4c306b

4993131 has 32 divisors (see below), whose sum is σ = 7967232. Its totient is φ = 2741760.

The previous prime is 4993129. The next prime is 4993147. The reversal of 4993131 is 1313994.

It is not a de Polignac number, because 4993131 - 21 = 4993129 is a prime.

It is a super-2 number, since 2×49931312 = 49862714366322, which contains 22 as substring.

Its product of digits (2916) is a multiple of the sum of its prime divisors (243).

It is not an unprimeable number, because it can be changed into a prime (4993151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44131 + ... + 44243.

It is an arithmetic number, because the mean of its divisors is an integer number (248976).

Almost surely, 24993131 is an apocalyptic number.

4993131 is a deficient number, since it is larger than the sum of its proper divisors (2974101).

4993131 is a wasteful number, since it uses less digits than its factorization.

4993131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243.

The product of its digits is 2916, while the sum is 30.

The square root of 4993131 is about 2234.5314945196. The cubic root of 4993131 is about 170.9192532831.

The spelling of 4993131 in words is "four million, nine hundred ninety-three thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 103 113 143 309 339 429 1133 1243 1339 1469 3399 3729 4017 4407 11639 14729 16159 34917 44187 48477 128029 151307 384087 453921 1664377 4993131