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2428667424 = 25328432873
BaseRepresentation
bin1001000011000010…
…1000011000100000
320021020222002101100
42100300220120200
514433214324144
61040554434400
7114120222021
oct22060503040
96236862340
102428667424
111036a12867
12579432a00
132c9215221
141907a2c48
15e333a269
hex90c28620

2428667424 has 36 divisors (see below), whose sum is σ = 6906523806. Its totient is φ = 809555712.

The previous prime is 2428667411. The next prime is 2428667443. The reversal of 2428667424 is 4247668242.

It can be written as a sum of positive squares in only one way, i.e., 2414739600 + 13927824 = 49140^2 + 3732^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2428667424.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4216149 + ... + 4216724.

Almost surely, 22428667424 is an apocalyptic number.

2428667424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2428667424 is an abundant number, since it is smaller than the sum of its proper divisors (4477856382).

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

2428667424 is a wasteful number, since it uses less digits than its factorization.

2428667424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8432889 (or 8432878 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 45.

The square root of 2428667424 is about 49281.5119897919. The cubic root of 2428667424 is about 1344.1756254337.

The spelling of 2428667424 in words is "two billion, four hundred twenty-eight million, six hundred sixty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8432873 16865746 25298619 33731492 50597238 67462984 75895857 101194476 134925968 151791714 202388952 269851936 303583428 404777904 607166856 809555808 1214333712 2428667424