Search a number
-
+
4590432 = 253471123
BaseRepresentation
bin10001100000101101100000
322122012220000
4101200231200
52133343212
6242220000
754006120
oct21405540
98565800
104590432
112655950
121654600
13c49542
14876c80
1560a1dc
hex460b60

4590432 has 240 divisors, whose sum is σ = 17563392. Its totient is φ = 1140480.

The previous prime is 4590427. The next prime is 4590437. The reversal of 4590432 is 2340954.

It is an interprime number because it is at equal distance from previous prime (4590427) and next prime (4590437).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4590396 and 4590405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4590437) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199573 + ... + 199595.

Almost surely, 24590432 is an apocalyptic number.

4590432 is a gapful number since it is divisible by the number (42) 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 4590432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8781696).

4590432 is an abundant number, since it is smaller than the sum of its proper divisors (12972960).

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

4590432 is a wasteful number, since it uses less digits than its factorization.

4590432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 4590432 is about 2142.5293463568. The cubic root of 4590432 is about 166.1949613351.

The spelling of 4590432 in words is "four million, five hundred ninety thousand, four hundred thirty-two".