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4819968 = 21032523
BaseRepresentation
bin10010011000110000000000
3100001212202100
4102120300000
52213214333
6251150400
755653246
oct22306000
910055670
104819968
1127a234a
121745400
13cc9b6a
148d6796
15653213
hex498c00

4819968 has 66 divisors (see below), whose sum is σ = 13944164. Its totient is φ = 1603584.

The previous prime is 4819967. The next prime is 4819981. The reversal of 4819968 is 8699184.

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

It is not an unprimeable number, because it can be changed into a prime (4819961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8955 + ... + 9477.

Almost surely, 24819968 is an apocalyptic number.

4819968 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 4819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972082).

4819968 is an abundant number, since it is smaller than the sum of its proper divisors (9124196).

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

4819968 is a wasteful number, since it uses less digits than its factorization.

4819968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 528 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 4819968 is about 2195.4425521976. The cubic root of 4819968 is about 168.9201214425.

The spelling of 4819968 in words is "four million, eight hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 523 576 768 1024 1046 1152 1536 1569 2092 2304 3072 3138 4184 4608 4707 6276 8368 9216 9414 12552 16736 18828 25104 33472 37656 50208 66944 75312 100416 133888 150624 200832 267776 301248 401664 535552 602496 803328 1204992 1606656 2409984 4819968