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2484768 = 2531113181
BaseRepresentation
bin1001011110101000100000
311200020110110
421132220200
51114003033
6125131320
730056136
oct11365040
94606413
102484768
111447930
129b9b40
1368cca0
14489756
15341363
hex25ea20

2484768 has 96 divisors (see below), whose sum is σ = 7705152. Its totient is φ = 691200.

The previous prime is 2484751. The next prime is 2484803. The reversal of 2484768 is 8674842.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13638 + ... + 13818.

It is an arithmetic number, because the mean of its divisors is an integer number (80262).

22484768 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 2484768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3852576).

2484768 is an abundant number, since it is smaller than the sum of its proper divisors (5220384).

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

2484768 is a wasteful number, since it uses less digits than its factorization.

2484768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its digits is 86016, while the sum is 39.

The square root of 2484768 is about 1576.3146893942. The cubic root of 2484768 is about 135.4446790596. Note that the first 3 decimals are identical.

The spelling of 2484768 in words is "two million, four hundred eighty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 181 208 264 286 312 352 362 416 429 528 543 572 624 724 858 1056 1086 1144 1248 1448 1716 1991 2172 2288 2353 2896 3432 3982 4344 4576 4706 5792 5973 6864 7059 7964 8688 9412 11946 13728 14118 15928 17376 18824 23892 25883 28236 31856 37648 47784 51766 56472 63712 75296 77649 95568 103532 112944 155298 191136 207064 225888 310596 414128 621192 828256 1242384 2484768