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2924061280 = 2557353281
BaseRepresentation
bin1010111001001001…
…1010001001100000
321112210010200222221
42232102122021200
521442024430110
61202052440424
7132314053000
oct25622321140
97483120887
102924061280
111270613578
12697319114
13377a4689a
141da4ba000
15121a937da
hexae49a260

2924061280 has 96 divisors (see below), whose sum is σ = 8056238400. Its totient is φ = 1002516480.

The previous prime is 2924061193. The next prime is 2924061313. The reversal of 2924061280 is 821604292.

It is a congruent number.

It is an unprimeable number.

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, 28240 + ... + 81520.

It is an arithmetic number, because the mean of its divisors is an integer number (83919150).

Almost surely, 22924061280 is an apocalyptic number.

2924061280 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 2924061280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4028119200).

2924061280 is an abundant number, since it is smaller than the sum of its proper divisors (5132177120).

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

2924061280 is an equidigital number, since it uses as much as digits as its factorization.

2924061280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53317 (or 53295 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 2924061280 is about 54074.5899660830. The cubic root of 2924061280 is about 1429.9762462027.

The spelling of 2924061280 in words is "two billion, nine hundred twenty-four million, sixty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2744 3430 3920 5488 6860 7840 10976 13720 27440 53281 54880 106562 213124 266405 372967 426248 532810 745934 852496 1065620 1491868 1704992 1864835 2131240 2610769 2983736 3729670 4262480 5221538 5967472 7459340 8524960 10443076 11934944 13053845 14918680 18275383 20886152 26107690 29837360 36550766 41772304 52215380 59674720 73101532 83544608 91376915 104430760 146203064 182753830 208861520 292406128 365507660 417723040 584812256 731015320 1462030640 2924061280