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4980768 = 253132307
BaseRepresentation
bin10011000000000000100000
3100101001022220
4103000000200
52233341033
6254431040
760223122
oct23000040
910331286
104980768
1128a2141
121802480
131055100
14939212
15685bb3
hex4c0020

4980768 has 72 divisors (see below), whose sum is σ = 14203728. Its totient is φ = 1527552.

The previous prime is 4980763. The next prime is 4980797. The reversal of 4980768 is 8670894.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4980763) 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, 16071 + ... + 16377.

It is an arithmetic number, because the mean of its divisors is an integer number (197274).

Almost surely, 24980768 is an apocalyptic number.

4980768 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 4980768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7101864).

4980768 is an abundant number, since it is smaller than the sum of its proper divisors (9222960).

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

4980768 is a wasteful number, since it uses less digits than its factorization.

4980768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4980768 is about 2231.7634283230. The cubic root of 4980768 is about 170.7780712523.

The spelling of 4980768 in words is "four million, nine hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 307 312 338 416 507 614 624 676 921 1014 1228 1248 1352 1842 2028 2456 2704 3684 3991 4056 4912 5408 7368 7982 8112 9824 11973 14736 15964 16224 23946 29472 31928 47892 51883 63856 95784 103766 127712 155649 191568 207532 311298 383136 415064 622596 830128 1245192 1660256 2490384 4980768