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2472243264 = 26324292089
BaseRepresentation
bin1001001101011011…
…0111000001000000
320101021221222012100
42103112313001000
520030343241024
61045152430400
7115156502211
oct22326670100
96337858170
102472243264
111059575a57
1258bb48400
1330526154a
141964a7408
15e70967c9
hex935b7040

2472243264 has 42 divisors (see below), whose sum is σ = 7086240590. Its totient is φ = 824080896.

The previous prime is 2472243233. The next prime is 2472243269. The reversal of 2472243264 is 4623422742.

It can be written as a sum of positive squares in only one way, i.e., 2460953664 + 11289600 = 49608^2 + 3360^2 .

It is a super-2 number, since 2×24722432642 = 12223973512786747392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2472243269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2145469 + ... + 2146620.

Almost surely, 22472243264 is an apocalyptic number.

2472243264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2472243264 is an abundant number, since it is smaller than the sum of its proper divisors (4613997326).

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

2472243264 is a wasteful number, since it uses less digits than its factorization.

2472243264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292107 (or 4292094 counting only the distinct ones).

The product of its digits is 129024, while the sum is 36.

The square root of 2472243264 is about 49721.6578967355. The cubic root of 2472243264 is about 1352.1672120254.

The spelling of 2472243264 in words is "two billion, four hundred seventy-two million, two hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 4292089 8584178 12876267 17168356 25752534 34336712 38628801 51505068 68673424 77257602 103010136 137346848 154515204 206020272 274693696 309030408 412040544 618060816 824081088 1236121632 2472243264