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4435426801 = 1324721092
BaseRepresentation
bin1000010000101111…
…10011110111110001
3102110010001000201201
410020113303313301
533040432124201
62012042331201
7214625335321
oct41027636761
912403030651
104435426801
111976756893
12a394b9b01
13558bb8100
143010db281
151ae5d5801
hex1085f3df1

4435426801 has 27 divisors (see below), whose sum is σ = 4952654721. Its totient is φ = 3970365984.

The previous prime is 4435426777. The next prime is 4435426889. The reversal of 4435426801 is 1086245344.

The square root of 4435426801 is 66599.

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

It can be written as a sum of positive squares in 4 ways, for example, as 155127025 + 4280299776 = 12455^2 + 65424^2 .

It is not a de Polignac number, because 4435426801 - 27 = 4435426673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4435426301) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 40691935 + ... + 40692043.

Almost surely, 24435426801 is an apocalyptic number.

4435426801 is the 66599-th square number.

4435426801 is the 33300-th centered octagonal number.

It is an amenable number.

4435426801 is a deficient number, since it is larger than the sum of its proper divisors (517227920).

4435426801 is an equidigital number, since it uses as much as digits as its factorization.

4435426801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The cubic root of 4435426801 is about 1643.0286589290.

The spelling of 4435426801 in words is "four billion, four hundred thirty-five million, four hundred twenty-six thousand, eight hundred one".

Divisors: 1 13 47 109 169 611 1417 2209 5123 7943 11881 18421 28717 66599 154453 240781 373321 558407 865787 2007889 3130153 7259291 26245129 40691989 94370783 341186677 4435426801