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4756447089 = 34792972
BaseRepresentation
bin1000110111000000…
…11001111101110001
3110021111002112210000
410123200121331301
534220122301324
62103551100213
7225604063452
oct43340317561
913244075700
104756447089
112020988109
12b08b11669
135aa565844
143319c3129
151cc8979c9
hex11b819f71

4756447089 has 45 divisors (see below), whose sum is σ = 7271343387. Its totient is φ = 3098549376.

The previous prime is 4756447079. The next prime is 4756447109. The reversal of 4756447089 is 9807446574.

The square root of 4756447089 is 68967.

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

4756447089 is a `hidden beast` number, since 4 + 7 + 564 + 4 + 70 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2135826225 + 2620620864 = 46215^2 + 51192^2 .

It is not a de Polignac number, because 4756447089 - 227 = 4622229361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4756447009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49035489 + ... + 49035585.

Almost surely, 24756447089 is an apocalyptic number.

4756447089 is the 68967-th square number.

4756447089 is the 34484-th centered octagonal number.

It is an amenable number.

4756447089 is a deficient number, since it is larger than the sum of its proper divisors (2514896298).

4756447089 is an frugal number, since it uses more digits than its factorization.

4756447089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The cubic root of 4756447089 is about 1681.7478843016.

The spelling of 4756447089 in words is "four billion, seven hundred fifty-six million, four hundred forty-seven thousand, eighty-nine".

Divisors: 1 3 9 27 79 81 97 237 291 711 873 2133 2619 6241 6399 7663 7857 9409 18723 22989 28227 56169 68967 84681 168507 206901 254043 505521 605377 620703 743311 762129 1816131 2229933 5448393 6689799 16345179 20069397 49035537 58721569 60208191 176164707 528494121 1585482363 4756447089