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4427837764 = 2276972
BaseRepresentation
bin1000001111110101…
…10111000101000100
3102102120202110112021
410013322313011010
533032011302024
62011211532524
7214504000000
oct40772670504
912376673467
104427837764
111972443059
12a36a5a144
1355745ba5c
143000c3700
151adad6de4
hex107eb7144

4427837764 has 63 divisors (see below), whose sum is σ = 9134316093. Its totient is φ = 1878081408.

The previous prime is 4427837749. The next prime is 4427837773. The reversal of 4427837764 is 4677387244.

The square root of 4427837764 is 66542.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1988268100 + 2439569664 = 44590^2 + 49392^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 45647764 + ... + 45647860.

Almost surely, 24427837764 is an apocalyptic number.

4427837764 is the 66542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4427837764

4427837764 is an abundant number, since it is smaller than the sum of its proper divisors (4706478329).

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

4427837764 is an frugal number, since it uses more digits than its factorization.

4427837764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 106 counting only the distinct ones).

The product of its digits is 6322176, while the sum is 52.

The cubic root of 4427837764 is about 1642.0910472761.

The spelling of 4427837764 in words is "four billion, four hundred twenty-seven million, eight hundred thirty-seven thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 97 98 194 196 343 388 679 686 1358 1372 2401 2716 4753 4802 9409 9506 9604 16807 18818 19012 33271 33614 37636 65863 66542 67228 117649 131726 133084 232897 235298 263452 461041 465794 470596 922082 931588 1630279 1844164 3227287 3260558 6454574 6521116 11411953 12909148 22591009 22823906 45182018 45647812 90364036 158137063 316274126 632548252 1106959441 2213918882 4427837764