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2481399580 = 2251153593607
BaseRepresentation
bin1001001111100111…
…0010011100011100
320101221012011022011
42103321302130130
520040214241310
61050121001004
7115330356052
oct22371623434
96357164264
102481399580
11106375a260
12593023164
1330711909a
141977ac1d2
15e7ca478a
hex93e7271c

2481399580 has 96 divisors (see below), whose sum is σ = 5891719680. Its totient is φ = 870055680.

The previous prime is 2481399553. The next prime is 2481399593. The reversal of 2481399580 is 859931842.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686137 + ... + 689743.

It is an arithmetic number, because the mean of its divisors is an integer number (61372080).

Almost surely, 22481399580 is an apocalyptic number.

2481399580 is a gapful number since it is divisible by the number (20) 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 2481399580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945859840).

2481399580 is an abundant number, since it is smaller than the sum of its proper divisors (3410320100).

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

2481399580 is a wasteful number, since it uses less digits than its factorization.

2481399580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3739 (or 3737 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

The square root of 2481399580 is about 49813.6485313011. The cubic root of 2481399580 is about 1353.8344720182.

The spelling of 2481399580 in words is "two billion, four hundred eighty-one million, three hundred ninety-nine thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 59 106 110 118 212 220 236 265 295 530 583 590 649 1060 1166 1180 1298 2332 2596 2915 3127 3245 3607 5830 6254 6490 7214 11660 12508 12980 14428 15635 18035 31270 34397 36070 39677 62540 68794 72140 79354 137588 158708 171985 191171 198385 212813 343970 382342 396770 425626 687940 764684 793540 851252 955855 1064065 1911710 2102881 2128130 2340943 3823420 4205762 4256260 4681886 8411524 9363772 10514405 11279089 11704715 21028810 22558178 23409430 42057620 45116356 46818860 56395445 112790890 124069979 225581780 248139958 496279916 620349895 1240699790 2481399580