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4993488 = 24343853
BaseRepresentation
bin10011000011000111010000
3100101200210000
4103003013100
52234242423
6255010000
760305163
oct23030720
910350700
104993488
112900755
121809900
13105ab36
1493dada
15689843
hex4c31d0

4993488 has 50 divisors (see below), whose sum is σ = 14456354. Its totient is φ = 1664064.

The previous prime is 4993459. The next prime is 4993517. The reversal of 4993488 is 8843994.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4993459) and next prime (4993517).

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 11664 = 2232^2 + 108^2 .

It is a super-2 number, since 2×49934882 = 49869844812288, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 631 + ... + 3222.

Almost surely, 24993488 is an apocalyptic number.

4993488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4993488 is an abundant number, since it is smaller than the sum of its proper divisors (9462866).

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

4993488 is a wasteful number, since it uses less digits than its factorization.

4993488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3873 (or 3858 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 4993488 is about 2234.6113756087. The cubic root of 4993488 is about 170.9233266603.

The spelling of 4993488 in words is "four million, nine hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 3853 7706 11559 15412 23118 30824 34677 46236 61648 69354 92472 104031 138708 184944 208062 277416 312093 416124 554832 624186 832248 1248372 1664496 2496744 4993488