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4927728 = 2431353149
BaseRepresentation
bin10010110011000011110000
3100021100120110
4102303003300
52230141403
6253341320
756612361
oct22630360
910240513
104927728
112866303
121797840
131036c20
14923b68
15675103
hex4b30f0

4927728 has 80 divisors (see below), whose sum is σ = 14061600. Its totient is φ = 1477632.

The previous prime is 4927723. The next prime is 4927733. The reversal of 4927728 is 8277294.

4927728 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4927723) and next prime (4927733).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4927721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32998 + ... + 33146.

It is an arithmetic number, because the mean of its divisors is an integer number (175770).

Almost surely, 24927728 is an apocalyptic number.

4927728 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 4927728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7030800).

4927728 is an abundant number, since it is smaller than the sum of its proper divisors (9133872).

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

4927728 is a wasteful number, since it uses less digits than its factorization.

4927728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its digits is 56448, while the sum is 39.

The square root of 4927728 is about 2219.8486434890. The cubic root of 4927728 is about 170.1697036615.

The spelling of 4927728 in words is "four million, nine hundred twenty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 53 78 104 106 149 156 159 208 212 298 312 318 424 447 596 624 636 689 848 894 1192 1272 1378 1788 1937 2067 2384 2544 2756 3576 3874 4134 5512 5811 7152 7748 7897 8268 11024 11622 15496 15794 16536 23244 23691 30992 31588 33072 46488 47382 63176 92976 94764 102661 126352 189528 205322 307983 379056 410644 615966 821288 1231932 1642576 2463864 4927728