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2483328 = 27329223
BaseRepresentation
bin1001011110010010000000
311200011111010
421132102000
51113431303
6125120520
730052011
oct11362200
94604433
102483328
111446841
129b9140
1368c433
14489008
15340c03
hex25e480

2483328 has 64 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 795648.

The previous prime is 2483291. The next prime is 2483381. The reversal of 2483328 is 8233842.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2483295 and 2483304.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11025 + ... + 11247.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

22483328 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 2483328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

2483328 is an abundant number, since it is smaller than the sum of its proper divisors (4371072).

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

2483328 is a wasteful number, since it uses less digits than its factorization.

2483328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 257 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 2483328 is about 1575.8578616106. The cubic root of 2483328 is about 135.4185092083.

The spelling of 2483328 in words is "two million, four hundred eighty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 223 232 348 384 446 464 669 696 892 928 1338 1392 1784 1856 2676 2784 3568 3712 5352 5568 6467 7136 10704 11136 12934 14272 19401 21408 25868 28544 38802 42816 51736 77604 85632 103472 155208 206944 310416 413888 620832 827776 1241664 2483328