Search a number
-
+
1426883200 = 27522319387
BaseRepresentation
bin101010100001100…
…1000001010000000
310200102221011202221
41111003020022000
510410240230300
6353331020424
750234210221
oct12503101200
93612834687
101426883200
11672490516
12339a3a714
13199801bb2
14d770d248
158540531a
hex550c8280

1426883200 has 96 divisors (see below), whose sum is σ = 3678291360. Its totient is φ = 545909760.

The previous prime is 1426883197. The next prime is 1426883203. The reversal of 1426883200 is 23886241.

It is an interprime number because it is at equal distance from previous prime (1426883197) and next prime (1426883203).

It is not an unprimeable number, because it can be changed into a prime (1426883203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63907 + ... + 83293.

It is an arithmetic number, because the mean of its divisors is an integer number (38315535).

Almost surely, 21426883200 is an apocalyptic number.

1426883200 is a gapful number since it is divisible by the number (10) 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 1426883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839145680).

1426883200 is an abundant number, since it is smaller than the sum of its proper divisors (2251408160).

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

1426883200 is a wasteful number, since it uses less digits than its factorization.

1426883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19434 (or 19417 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1426883200 is about 37774.1075341298. The cubic root of 1426883200 is about 1125.8040540005.

The spelling of 1426883200 in words is "one billion, four hundred twenty-six million, eight hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 23 25 32 40 46 50 64 80 92 100 115 128 160 184 200 230 320 368 400 460 575 640 736 800 920 1150 1472 1600 1840 2300 2944 3200 3680 4600 7360 9200 14720 18400 19387 36800 38774 73600 77548 96935 155096 193870 310192 387740 445901 484675 620384 775480 891802 969350 1240768 1550960 1783604 1938700 2229505 2481536 3101920 3567208 3877400 4459010 6203840 7134416 7754800 8918020 11147525 12407680 14268832 15509600 17836040 22295050 28537664 31019200 35672080 44590100 57075328 62038400 71344160 89180200 142688320 178360400 285376640 356720800 713441600 1426883200