Search a number
-
+
2485824 = 263112107
BaseRepresentation
bin1001011110111001000000
311200021220120
421132321000
51114021244
6125140240
730062205
oct11367100
94607816
102485824
111448700
129ba680
13690603
14489cac
15341819
hex25ee40

2485824 has 84 divisors (see below), whose sum is σ = 7296912. Its totient is φ = 746240.

The previous prime is 2485807. The next prime is 2485831. The reversal of 2485824 is 4285842.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23179 + ... + 23285.

It is an arithmetic number, because the mean of its divisors is an integer number (86868).

22485824 is an apocalyptic number.

2485824 is a gapful number since it is divisible by the number (24) 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 2485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3648456).

2485824 is an abundant number, since it is smaller than the sum of its proper divisors (4811088).

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

2485824 is a wasteful number, since it uses less digits than its factorization.

2485824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its digits is 20480, while the sum is 33.

The square root of 2485824 is about 1576.6496123109. The cubic root of 2485824 is about 135.4638638586.

The spelling of 2485824 in words is "two million, four hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 107 121 132 176 192 214 242 264 321 352 363 428 484 528 642 704 726 856 968 1056 1177 1284 1452 1712 1936 2112 2354 2568 2904 3424 3531 3872 4708 5136 5808 6848 7062 7744 9416 10272 11616 12947 14124 18832 20544 23232 25894 28248 37664 38841 51788 56496 75328 77682 103576 112992 155364 207152 225984 310728 414304 621456 828608 1242912 2485824