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4472882744 = 2311293475051
BaseRepresentation
bin1000010101001101…
…01100011000111000
3102112201111222121212
410022212230120320
533130024221434
62015501222252
7215561606321
oct41246543070
912481458555
104472882744
11199590a010
12a49b61988
135638a09a5
1430608b448
151b2a338ce
hex10a9ac638

4472882744 has 64 divisors (see below), whose sum is σ = 9493718400. Its totient is φ = 1956976000.

The previous prime is 4472882737. The next prime is 4472882759.

4472882744 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4472882692 and 4472882701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 883019 + ... + 888069.

It is an arithmetic number, because the mean of its divisors is an integer number (148339350).

Almost surely, 24472882744 is an apocalyptic number.

4472882744 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4472882744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4746859200).

4472882744 is an abundant number, since it is smaller than the sum of its proper divisors (5020835656).

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

4472882744 is a wasteful number, since it uses less digits than its factorization.

4472882744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5440 counting only the distinct ones).

The product of its digits is 3211264, while the sum is 50.

The square root of 4472882744 is about 66879.6138146745. The cubic root of 4472882744 is about 1647.6406738113.

The spelling of 4472882744 in words is "four billion, four hundred seventy-two million, eight hundred eighty-two thousand, seven hundred forty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 347 638 694 1276 1388 2552 2776 3817 5051 7634 10063 10102 15268 20126 20204 30536 40252 40408 55561 80504 110693 111122 146479 221386 222244 292958 442772 444488 585916 885544 1171832 1611269 1752697 3222538 3505394 6445076 7010788 12890152 14021576 19279667 38559334 50828213 77118668 101656426 154237336 203312852 406625704 559110343 1118220686 2236441372 4472882744