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4933128 = 23317107113
BaseRepresentation
bin10010110100011000001000
3100021121222110
4102310120020
52230330003
6253422320
756634204
oct22643010
910247873
104933128
11286a372
12179a9a0
131039515
14925b04
15676a03
hex4b4608

4933128 has 64 divisors (see below), whose sum is σ = 13296960. Its totient is φ = 1519616.

The previous prime is 4933127. The next prime is 4933147. The reversal of 4933128 is 8213394.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 47 + 97 + 3 + 37 + 1 + 217 + 83 .

It is a junction number, because it is equal to n+sod(n) for n = 4933095 and 4933104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4933127) 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, 43600 + ... + 43712.

It is an arithmetic number, because the mean of its divisors is an integer number (207765).

Almost surely, 24933128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4933128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6648480).

4933128 is an abundant number, since it is smaller than the sum of its proper divisors (8363832).

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

4933128 is a wasteful number, since it uses less digits than its factorization.

4933128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 242 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The square root of 4933128 is about 2221.0646095960. The cubic root of 4933128 is about 170.2318405423.

The spelling of 4933128 in words is "four million, nine hundred thirty-three thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 113 136 204 214 226 321 339 408 428 452 642 678 856 904 1284 1356 1819 1921 2568 2712 3638 3842 5457 5763 7276 7684 10914 11526 12091 14552 15368 21828 23052 24182 36273 43656 46104 48364 72546 96728 145092 205547 290184 411094 616641 822188 1233282 1644376 2466564 4933128