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4996816 = 241122989
BaseRepresentation
bin10011000011111011010000
3100101212100021
4103003323100
52234344231
6255033224
760320656
oct23037320
910355307
104996816
112903200
12180b814
13105c4c6
14940dd6
1568a811
hex4c3ed0

4996816 has 60 divisors (see below), whose sum is σ = 11132100. Its totient is φ = 2168320.

The previous prime is 4996757. The next prime is 4996841. The reversal of 4996816 is 6186994.

It can be written as a sum of positive squares in 2 ways, for example, as 1742400 + 3254416 = 1320^2 + 1804^2 .

It is a congruent number.

It is an unprimeable number.

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, 56100 + ... + 56188.

It is an arithmetic number, because the mean of its divisors is an integer number (185535).

Almost surely, 24996816 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 4996816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5566050).

4996816 is an abundant number, since it is smaller than the sum of its proper divisors (6135284).

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

4996816 is a wasteful number, since it uses less digits than its factorization.

4996816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 131 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 4996816 is about 2235.3559000750. The cubic root of 4996816 is about 170.9612898709.

The spelling of 4996816 in words is "four million, nine hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 89 116 121 176 178 232 242 319 356 464 484 638 712 968 979 1276 1424 1936 1958 2552 2581 3509 3916 5104 5162 7018 7832 10324 10769 14036 15664 20648 21538 28072 28391 41296 43076 56144 56782 86152 113564 172304 227128 312301 454256 624602 1249204 2498408 4996816