Search a number
-
+
2428081000 = 23534356467
BaseRepresentation
bin1001000010111001…
…1001001101101000
320021012212021221221
42100232121031220
514433042043000
61040534111424
7114112230232
oct22056311550
96235767857
102428081000
111036652214
125791ab574
132c906b327
1419068d252
15e327161a
hex90b99368

2428081000 has 64 divisors (see below), whose sum is σ = 5813945280. Its totient is φ = 948628800.

The previous prime is 2428080979. The next prime is 2428081009. The reversal of 2428081000 is 1808242.

It is a super-2 number, since 2×24280810002 = 11791154685122000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2428081009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14767 + ... + 71233.

It is an arithmetic number, because the mean of its divisors is an integer number (90842895).

Almost surely, 22428081000 is an apocalyptic number.

2428081000 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 2428081000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906972640).

2428081000 is an abundant number, since it is smaller than the sum of its proper divisors (3385864280).

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

2428081000 is a wasteful number, since it uses less digits than its factorization.

2428081000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56531 (or 56517 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2428081000 is about 49275.5618943102. The cubic root of 2428081000 is about 1344.0674288851.

Adding to 2428081000 its reverse (1808242), we get a palindrome (2429889242).

The spelling of 2428081000 in words is "two billion, four hundred twenty-eight million, eighty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 125 172 200 215 250 344 430 500 860 1000 1075 1720 2150 4300 5375 8600 10750 21500 43000 56467 112934 225868 282335 451736 564670 1129340 1411675 2258680 2428081 2823350 4856162 5646700 7058375 9712324 11293400 12140405 14116750 19424648 24280810 28233500 48561620 56467000 60702025 97123240 121404050 242808100 303510125 485616200 607020250 1214040500 2428081000