Search a number
-
+
2428858816 = 26177692903
BaseRepresentation
bin1001000011000101…
…0111000111000000
320021021022210220221
42100301113013000
514433241440231
61041002512424
7114121650016
oct22061270700
96237283827
102428858816
11103703363a
12579505714
132c9281387
141908128b6
15e3376d11
hex90c571c0

2428858816 has 56 divisors (see below), whose sum is σ = 5111678880. Its totient is φ = 1141112832.

The previous prime is 2428858753. The next prime is 2428858843. The reversal of 2428858816 is 6188588242.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 835221 + ... + 838123.

It is an arithmetic number, because the mean of its divisors is an integer number (91279980).

Almost surely, 22428858816 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 2428858816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555839440).

2428858816 is an abundant number, since it is smaller than the sum of its proper divisors (2682820064).

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

2428858816 is a wasteful number, since it uses less digits than its factorization.

2428858816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3701 (or 3691 counting only the distinct ones).

The product of its digits is 1966080, while the sum is 52.

The square root of 2428858816 is about 49283.4537750755. The cubic root of 2428858816 is about 1344.2109339190.

The spelling of 2428858816 in words is "two billion, four hundred twenty-eight million, eight hundred fifty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 769 1088 1538 2903 3076 5806 6152 11612 12304 13073 23224 24608 26146 46448 49216 49351 52292 92896 98702 104584 185792 197404 209168 394808 418336 789616 836672 1579232 2232407 3158464 4464814 8929628 17859256 35718512 37950919 71437024 75901838 142874048 151803676 303607352 607214704 1214429408 2428858816