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2482816 = 27717163
BaseRepresentation
bin1001011110001010000000
311200010210011
421132022000
51113422231
6125114304
730050350
oct11361200
94603704
102482816
111446416
129b8994
1368c12b
14488b60
153409b1
hex25e280

2482816 has 64 divisors (see below), whose sum is σ = 6022080. Its totient is φ = 995328.

The previous prime is 2482813. The next prime is 2482841. The reversal of 2482816 is 6182842.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (2482813) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15151 + ... + 15313.

It is an arithmetic number, because the mean of its divisors is an integer number (94095).

22482816 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 2482816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011040).

2482816 is an abundant number, since it is smaller than the sum of its proper divisors (3539264).

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

2482816 is a wasteful number, since it uses less digits than its factorization.

2482816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 189 counting only the distinct ones).

The product of its digits is 6144, while the sum is 31.

The square root of 2482816 is about 1575.6954020368. The cubic root of 2482816 is about 135.4092019343.

The spelling of 2482816 in words is "two million, four hundred eighty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 163 224 238 272 326 448 476 544 652 896 952 1088 1141 1304 1904 2176 2282 2608 2771 3808 4564 5216 5542 7616 9128 10432 11084 15232 18256 19397 20864 22168 36512 38794 44336 73024 77588 88672 146048 155176 177344 310352 354688 620704 1241408 2482816