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2580048 = 2432192341
BaseRepresentation
bin1001110101111001010000
311212002011100
421311321100
51130030143
6131144400
730634002
oct11657120
94762140
102580048
111502479
12a45100
136c4473
144b2372
1535e6d3
hex275e50

2580048 has 120 divisors (see below), whose sum is σ = 8124480. Its totient is φ = 760320.

The previous prime is 2580031. The next prime is 2580049. The reversal of 2580048 is 8400852.

2580048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62908 + ... + 62948.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

22580048 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 2580048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062240).

2580048 is an abundant number, since it is smaller than the sum of its proper divisors (5544432).

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

2580048 is a wasteful number, since it uses less digits than its factorization.

2580048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2580048 is about 1606.2527820988. The cubic root of 2580048 is about 137.1542475658.

The spelling of 2580048 in words is "two million, five hundred eighty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 36 38 41 46 48 57 69 72 76 82 92 114 123 138 144 152 164 171 184 207 228 246 276 304 328 342 368 369 414 437 456 492 552 656 684 738 779 828 874 912 943 984 1104 1311 1368 1476 1558 1656 1748 1886 1968 2337 2622 2736 2829 2952 3116 3312 3496 3772 3933 4674 5244 5658 5904 6232 6992 7011 7544 7866 8487 9348 10488 11316 12464 14022 15088 15732 16974 17917 18696 20976 22632 28044 31464 33948 35834 37392 45264 53751 56088 62928 67896 71668 107502 112176 135792 143336 161253 215004 286672 322506 430008 645012 860016 1290024 2580048