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4910016 = 263107239
BaseRepresentation
bin10010101110101111000000
3100020110021110
4102232233000
52224110031
6253123320
756506626
oct22565700
910213243
104910016
112853a71
121789540
13102bb47
1491b516
1566ec46
hex4aebc0

4910016 has 56 divisors (see below), whose sum is σ = 13167360. Its totient is φ = 1614592.

The previous prime is 4909981. The next prime is 4910027. The reversal of 4910016 is 6100194.

It is a junction number, because it is equal to n+sod(n) for n = 4909974 and 4910001.

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 7 ways as a sum of consecutive naturals, for example, 20425 + ... + 20663.

Almost surely, 24910016 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 4910016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583680).

4910016 is an abundant number, since it is smaller than the sum of its proper divisors (8257344).

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

4910016 is a wasteful number, since it uses less digits than its factorization.

4910016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 4910016 is about 2215.8555909626. The cubic root of 4910016 is about 169.9655754979.

The spelling of 4910016 in words is "four million, nine hundred ten thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 239 321 428 478 642 717 856 956 1284 1434 1712 1912 2568 2868 3424 3824 5136 5736 6848 7648 10272 11472 15296 20544 22944 25573 45888 51146 76719 102292 153438 204584 306876 409168 613752 818336 1227504 1636672 2455008 4910016