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4999968 = 2535643
BaseRepresentation
bin10011000100101100100000
3100102000200000
4103010230200
52234444333
6255100000
760333111
oct23045440
910360600
104999968
112905606
121811600
131060a7c
14942208
1568b713
hex4c4b20

4999968 has 72 divisors (see below), whose sum is σ = 14768208. Its totient is φ = 1664064.

The previous prime is 4999963. The next prime is 4999999. The reversal of 4999968 is 8699994.

It is a happy number.

4999968 is a `hidden beast` number, since 499 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

Its product of digits (1259712) is a multiple of the sum of its prime divisors (648).

It is not an unprimeable number, because it can be changed into a prime (4999961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7455 + ... + 8097.

It is an arithmetic number, because the mean of its divisors is an integer number (205114).

Almost surely, 24999968 is an apocalyptic number.

4999968 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 4999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384104).

4999968 is an abundant number, since it is smaller than the sum of its proper divisors (9768240).

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

4999968 is an equidigital number, since it uses as much as digits as its factorization.

4999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 648 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 4999968 is about 2236.0608220708. The cubic root of 4999968 is about 170.9972298720.

The spelling of 4999968 in words is "four million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 643 648 864 972 1286 1296 1929 1944 2572 2592 3858 3888 5144 5787 7716 7776 10288 11574 15432 17361 20576 23148 30864 34722 46296 52083 61728 69444 92592 104166 138888 156249 185184 208332 277776 312498 416664 555552 624996 833328 1249992 1666656 2499984 4999968