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4999248 = 2432149233
BaseRepresentation
bin10011000100100001010000
3100101222200100
4103010201100
52234433443
6255052400
760331032
oct23044120
910358610
104999248
112905011
121811100
131060647
14941c52
1568b3d3
hex4c4850

4999248 has 60 divisors (see below), whose sum is σ = 14145300. Its totient is φ = 1648128.

The previous prime is 4999243. The next prime is 4999273. The reversal of 4999248 is 8429994.

It can be written as a sum of positive squares in 2 ways, for example, as 788544 + 4210704 = 888^2 + 2052^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4999243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21340 + ... + 21572.

It is an arithmetic number, because the mean of its divisors is an integer number (235755).

Almost surely, 24999248 is an apocalyptic number.

4999248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4999248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072650).

4999248 is an abundant number, since it is smaller than the sum of its proper divisors (9146052).

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

4999248 is a wasteful number, since it uses less digits than its factorization.

4999248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 387 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 4999248 is about 2235.8998188649. The cubic root of 4999248 is about 170.9890215584.

The spelling of 4999248 in words is "four million, nine hundred ninety-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 233 298 447 466 596 699 894 932 1192 1341 1398 1788 1864 2097 2384 2682 2796 3576 3728 4194 5364 5592 7152 8388 10728 11184 16776 21456 33552 34717 69434 104151 138868 208302 277736 312453 416604 555472 624906 833208 1249812 1666416 2499624 4999248