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2481648 = 243134197
BaseRepresentation
bin1001011101110111110000
311200002011220
421131313300
51113403043
6125105040
730044061
oct11356760
94602156
102481648
111445554
129b8180
1368b740
14488568
15340483
hex25ddf0

2481648 has 80 divisors (see below), whose sum is σ = 7145376. Its totient is φ = 737280.

The previous prime is 2481641. The next prime is 2481649. The reversal of 2481648 is 8461842.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2481641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25536 + ... + 25632.

22481648 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 2481648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572688).

2481648 is an abundant number, since it is smaller than the sum of its proper divisors (4663728).

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

2481648 is a wasteful number, since it uses less digits than its factorization.

2481648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 156 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 2481648 is about 1575.3247284290. The cubic root of 2481648 is about 135.3879649256.

The spelling of 2481648 in words is "two million, four hundred eighty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 97 104 123 156 164 194 208 246 291 312 328 388 492 533 582 624 656 776 984 1066 1164 1261 1552 1599 1968 2132 2328 2522 3198 3783 3977 4264 4656 5044 6396 7566 7954 8528 10088 11931 12792 15132 15908 20176 23862 25584 30264 31816 47724 51701 60528 63632 95448 103402 155103 190896 206804 310206 413608 620412 827216 1240824 2481648