Search a number
-
+
2842329700 = 2252719474547
BaseRepresentation
bin1010100101101010…
…1000001001100100
321100002100022100101
42221122220021210
521310114022300
61150012553444
7130302255340
oct25132501144
97302308311
102842329700
11122946a411
12673a82884
13363b2b2c2
141cd6c2620
151197ebb6a
hexa96a8264

2842329700 has 144 divisors (see below), whose sum is σ = 7579514880. Its totient is φ = 903381120.

The previous prime is 2842329691. The next prime is 2842329761. The reversal of 2842329700 is 79232482.

It is a self number, because there is not a number n which added to its sum of digits gives 2842329700.

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 47 ways as a sum of consecutive naturals, for example, 622827 + ... + 627373.

It is an arithmetic number, because the mean of its divisors is an integer number (52635520).

Almost surely, 22842329700 is an apocalyptic number.

2842329700 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 2842329700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3789757440).

2842329700 is an abundant number, since it is smaller than the sum of its proper divisors (4737185180).

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

2842329700 is a wasteful number, since it uses less digits than its factorization.

2842329700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4634 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 2842329700 is about 53313.5039178631. The cubic root of 2842329700 is about 1416.5268721727.

The spelling of 2842329700 in words is "two billion, eight hundred forty-two million, three hundred twenty-nine thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 47 50 70 76 94 95 100 133 140 175 188 190 235 266 329 350 380 470 475 532 658 665 700 893 940 950 1175 1316 1330 1645 1786 1900 2350 2660 3290 3325 3572 4465 4547 4700 6251 6580 6650 8225 8930 9094 12502 13300 16450 17860 18188 22325 22735 25004 31255 31829 32900 44650 45470 62510 63658 86393 89300 90940 113675 125020 127316 156275 159145 172786 213709 227350 312550 318290 345572 427418 431965 454700 604751 625100 636580 795725 854836 863930 1068545 1209502 1495963 1591450 1727860 2137090 2159825 2419004 2991926 3023755 3182900 4060471 4274180 4319650 5342725 5983852 6047510 7479815 8120942 8639300 10685450 12095020 14959630 15118775 16241884 20302355 21370900 28423297 29919260 30237550 37399075 40604710 56846594 60475100 74798150 81209420 101511775 113693188 142116485 149596300 203023550 284232970 406047100 568465940 710582425 1421164850 2842329700