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2463328 = 25721571
BaseRepresentation
bin1001011001011001100000
311122011001101
421121121200
51112311303
6124444144
726636500
oct11313140
94564041
102463328
11143280a
129a9654
136832ba
14481a00
15339d1d
hex259660

2463328 has 36 divisors (see below), whose sum is σ = 5645052. Its totient is φ = 1055040.

The previous prime is 2463319. The next prime is 2463359. The reversal of 2463328 is 8233642.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2 + 46 + 65 + 311 + 311 + 221 + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 2463296 and 2463305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 783 + ... + 2353.

It is an arithmetic number, because the mean of its divisors is an integer number (156807).

22463328 is an apocalyptic number.

2463328 is a gapful number since it is divisible by the number (28) 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 2463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2822526).

2463328 is an abundant number, since it is smaller than the sum of its proper divisors (3181724).

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

2463328 is a wasteful number, since it uses less digits than its factorization.

2463328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1580 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 2463328 is about 1569.4992832111. The cubic root of 2463328 is about 135.0539884658.

The spelling of 2463328 in words is "two million, four hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 392 784 1568 1571 3142 6284 10997 12568 21994 25136 43988 50272 76979 87976 153958 175952 307916 351904 615832 1231664 2463328