Search a number
-
+
2534832 = 243229607
BaseRepresentation
bin1001101010110110110000
311202210010200
421222312300
51122103312
6130155200
730355116
oct11526660
94683120
102534832
111481503
12a22b00
136a9a01
1449dab6
153510dc
hex26adb0

2534832 has 60 divisors (see below), whose sum is σ = 7350720. Its totient is φ = 814464.

The previous prime is 2534821. The next prime is 2534843. The reversal of 2534832 is 2384352.

2534832 is digitally balanced in base 2, 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 (2534821) and next prime (2534843).

It is a junction number, because it is equal to n+sod(n) for n = 2534796 and 2534805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3873 + ... + 4479.

It is an arithmetic number, because the mean of its divisors is an integer number (122512).

22534832 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 2534832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3675360).

2534832 is an abundant number, since it is smaller than the sum of its proper divisors (4815888).

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

2534832 is a wasteful number, since it uses less digits than its factorization.

2534832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 641 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 2534832 is about 1592.1155736943. The cubic root of 2534832 is about 136.3482998510.

The spelling of 2534832 in words is "two million, five hundred thirty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 607 696 1044 1214 1392 1821 2088 2428 3642 4176 4856 5463 7284 9712 10926 14568 17603 21852 29136 35206 43704 52809 70412 87408 105618 140824 158427 211236 281648 316854 422472 633708 844944 1267416 2534832