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4834128 = 2431361127
BaseRepresentation
bin10010011100001101010000
3100002121011210
4102130031100
52214143003
6251340120
756042445
oct22341520
910077153
104834128
112801a52
121751640
131003440
148db9cc
15657503
hex49c350

4834128 has 80 divisors (see below), whose sum is σ = 13776896. Its totient is φ = 1451520.

The previous prime is 4834127. The next prime is 4834129. The reversal of 4834128 is 8214384.

4834128 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 (4834127) and next prime (4834129).

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

It is a junction number, because it is equal to n+sod(n) for n = 4834095 and 4834104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4834121) 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, 38001 + ... + 38127.

Almost surely, 24834128 is an apocalyptic number.

4834128 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 4834128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6888448).

4834128 is an abundant number, since it is smaller than the sum of its proper divisors (8942768).

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

4834128 is a wasteful number, since it uses less digits than its factorization.

4834128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its digits is 6144, while the sum is 30.

The square root of 4834128 is about 2198.6650495244. The cubic root of 4834128 is about 169.0853763733.

The spelling of 4834128 in words is "four million, eight hundred thirty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 61 78 104 122 127 156 183 208 244 254 312 366 381 488 508 624 732 762 793 976 1016 1464 1524 1586 1651 2032 2379 2928 3048 3172 3302 4758 4953 6096 6344 6604 7747 9516 9906 12688 13208 15494 19032 19812 23241 26416 30988 38064 39624 46482 61976 79248 92964 100711 123952 185928 201422 302133 371856 402844 604266 805688 1208532 1611376 2417064 4834128