Search a number
-
+
2428373268 = 2232165740709
BaseRepresentation
bin1001000010111110…
…0000100100010100
320021020102010212200
42100233200210110
514433130421033
61040544244500
7114114555306
oct22057404424
96236363780
102428373268
111036831862
12579310730
132c9141379
14190727976
15e32cd013
hex90be0914

2428373268 has 36 divisors (see below), whose sum is σ = 6142243380. Its totient is φ = 808949376.

The previous prime is 2428373267. The next prime is 2428373291. The reversal of 2428373268 is 8623738242.

2428373268 is a `hidden beast` number, since 242 + 83 + 7 + 326 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 762753924 + 1665619344 = 27618^2 + 40812^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×24283732683 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428373263) 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, 39298 + ... + 80006.

Almost surely, 22428373268 is an apocalyptic number.

It is an amenable number.

2428373268 is an abundant number, since it is smaller than the sum of its proper divisors (3713870112).

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

2428373268 is a wasteful number, since it uses less digits than its factorization.

2428373268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42376 (or 42371 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2428373268 is about 49278.5274536486. The cubic root of 2428373268 is about 1344.1213551666.

The spelling of 2428373268 in words is "two billion, four hundred twenty-eight million, three hundred seventy-three thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1657 3314 4971 6628 9942 14913 19884 29826 40709 59652 81418 122127 162836 244254 366381 488508 732762 1465524 67454813 134909626 202364439 269819252 404728878 607093317 809457756 1214186634 2428373268