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4993128 = 233279907
BaseRepresentation
bin10011000011000001101000
3100101200021200
4103003001220
52234240003
6255004200
760304140
oct23030150
910350250
104993128
112900458
121809660
13105a91a
1493d920
156896a3
hex4c3068

4993128 has 48 divisors (see below), whose sum is σ = 15456480. Its totient is φ = 1426464.

The previous prime is 4993123. The next prime is 4993129. The reversal of 4993128 is 8213994.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4993092 and 4993101.

It is not an unprimeable number, because it can be changed into a prime (4993123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4450 + ... + 5457.

It is an arithmetic number, because the mean of its divisors is an integer number (322010).

Almost surely, 24993128 is an apocalyptic number.

It is an amenable number.

4993128 is an abundant number, since it is smaller than the sum of its proper divisors (10463352).

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

4993128 is a wasteful number, since it uses less digits than its factorization.

4993128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9926 (or 9919 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 4993128 is about 2234.5308232378. The cubic root of 4993128 is about 170.9192190522.

The spelling of 4993128 in words is "four million, nine hundred ninety-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 9907 19814 29721 39628 59442 69349 79256 89163 118884 138698 178326 208047 237768 277396 356652 416094 554792 624141 713304 832188 1248282 1664376 2496564 4993128