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4084428440 = 235293521059
BaseRepresentation
bin1111001101110011…
…0110111010011000
3101112122120110111102
43303130312322120
531331103202230
61513143250532
7203134032431
oct36334667230
911478513442
104084428440
11180660a5a4
1295ba49a48
13501272681
142aa650488
1518d8a1045
hexf3736e98

4084428440 has 32 divisors (see below), whose sum is σ = 9506862000. Its totient is φ = 1577433984.

The previous prime is 4084428377. The next prime is 4084428521. The reversal of 4084428440 is 448244804.

It is a junction number, because it is equal to n+sod(n) for n = 4084428394 and 4084428403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1759370 + ... + 1761689.

Almost surely, 24084428440 is an apocalyptic number.

4084428440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4084428440 is an abundant number, since it is smaller than the sum of its proper divisors (5422433560).

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

4084428440 is a wasteful number, since it uses less digits than its factorization.

4084428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521099 (or 3521095 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 38.

The square root of 4084428440 is about 63909.5332481782. The cubic root of 4084428440 is about 1598.4918653612.

The spelling of 4084428440 in words is "four billion, eighty-four million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 3521059 7042118 14084236 17605295 28168472 35210590 70421180 102110711 140842360 204221422 408442844 510553555 816885688 1021107110 2042214220 4084428440