Search a number
-
+
2468002256 = 24319915021
BaseRepresentation
bin1001001100011010…
…1011100111010000
320100222222111121222
42103012223213100
520023302033011
61044521504212
7115105446566
oct22306534720
96328874558
102468002256
111057139695
1258a642068
13304408085
14195ac1a36
15e6a09ddb
hex931ab9d0

2468002256 has 40 divisors (see below), whose sum is σ = 4941969408. Its totient is φ = 1192752000.

The previous prime is 2468002253. The next prime is 2468002259. The reversal of 2468002256 is 6522008642.

It is an interprime number because it is at equal distance from previous prime (2468002253) and next prime (2468002259).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468002253) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 489026 + ... + 494046.

Almost surely, 22468002256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468002256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2470984704).

2468002256 is an abundant number, since it is smaller than the sum of its proper divisors (2473967152).

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

2468002256 is a wasteful number, since it uses less digits than its factorization.

2468002256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6051 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The square root of 2468002256 is about 49678.9920992767. The cubic root of 2468002256 is about 1351.3935780433.

The spelling of 2468002256 in words is "two billion, four hundred sixty-eight million, two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 991 1982 3964 5021 7928 10042 15856 20084 30721 40168 61442 80336 122884 155651 245768 311302 491536 622604 1245208 2490416 4975811 9951622 19903244 39806488 79612976 154250141 308500282 617000564 1234001128 2468002256