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4789248 = 21031559
BaseRepresentation
bin10010010001010000000000
3100000022121120
4102101100000
52211223443
6250352240
755464552
oct22212000
910008546
104789248
112781262
12172b680
13cb8b99
148c94d2
15649083
hex491400

4789248 has 44 divisors (see below), whose sum is σ = 12773280. Its totient is φ = 1595392.

The previous prime is 4789247. The next prime is 4789249. The reversal of 4789248 is 8429874.

It is an interprime number because it is at equal distance from previous prime (4789247) and next prime (4789249).

It is a d-powerful number, because it can be written as 45 + 7 + 82 + 97 + 212 + 45 + 82 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4789241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2293 + ... + 3851.

Almost surely, 24789248 is an apocalyptic number.

4789248 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 4789248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6386640).

4789248 is an abundant number, since it is smaller than the sum of its proper divisors (7984032).

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

4789248 is a wasteful number, since it uses less digits than its factorization.

4789248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1564 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 4789248 is about 2188.4350572955. The cubic root of 4789248 is about 168.5604862872.

The spelling of 4789248 in words is "four million, seven hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1559 3072 3118 4677 6236 9354 12472 18708 24944 37416 49888 74832 99776 149664 199552 299328 399104 598656 798208 1197312 1596416 2394624 4789248