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4890816 = 263271213
BaseRepresentation
bin10010101010000011000000
3100012110221100
4102222003000
52223001231
6252454400
756366640
oct22520300
910173840
104890816
1128405a7
12177a400
131023198
14914520
156691e6
hex4aa0c0

4890816 has 84 divisors (see below), whose sum is σ = 16034512. Its totient is φ = 1396224.

The previous prime is 4890803. The next prime is 4890827. The reversal of 4890816 is 6180984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×48908162 = 47840162291712, which contains 22 as substring.

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

It is an unprimeable number.

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, 3426 + ... + 4638.

Almost surely, 24890816 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 4890816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8017256).

4890816 is an abundant number, since it is smaller than the sum of its proper divisors (11143696).

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

4890816 is a wasteful number, since it uses less digits than its factorization.

4890816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 4890816 is about 2211.5189350309. The cubic root of 4890816 is about 169.7437430952.

The spelling of 4890816 in words is "four million, eight hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1213 1344 2016 2426 3639 4032 4852 7278 8491 9704 10917 14556 16982 19408 21834 25473 29112 33964 38816 43668 50946 58224 67928 76419 77632 87336 101892 116448 135856 152838 174672 203784 232896 271712 305676 349344 407568 543424 611352 698688 815136 1222704 1630272 2445408 4890816