Search a number
-
+
4892328 = 2332717571
BaseRepresentation
bin10010101010011010101000
3100012120000100
4102222122220
52223023303
6252505400
756404230
oct22523250
910176010
104892328
112841751
12177b260
131023a8c
14914cc0
156698a3
hex4aa6a8

4892328 has 96 divisors (see below), whose sum is σ = 16061760. Its totient is φ = 1313280.

The previous prime is 4892323. The next prime is 4892351. The reversal of 4892328 is 8232984.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 = 4892292 and 4892301.

It is not an unprimeable number, because it can be changed into a prime (4892323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8283 + ... + 8853.

It is an arithmetic number, because the mean of its divisors is an integer number (167310).

Almost surely, 24892328 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 4892328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030880).

4892328 is an abundant number, since it is smaller than the sum of its proper divisors (11169432).

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

4892328 is a wasteful number, since it uses less digits than its factorization.

4892328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 600 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 4892328 is about 2211.8607551110. The cubic root of 4892328 is about 169.7612334346.

The spelling of 4892328 in words is "four million, eight hundred ninety-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 571 612 714 952 1071 1142 1224 1428 1713 2142 2284 2856 3426 3997 4284 4568 5139 6852 7994 8568 9707 10278 11991 13704 15988 19414 20556 23982 29121 31976 35973 38828 41112 47964 58242 67949 71946 77656 87363 95928 116484 135898 143892 174726 203847 232968 271796 287784 349452 407694 543592 611541 698904 815388 1223082 1630776 2446164 4892328