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428086244089 = 7215126192
BaseRepresentation
bin1100011101010111110…
…11011011001011111001
31111220222001210101210101
412032223323123023321
524003210034302324
6524354325515401
742633243015400
oct6165373331371
91456861711711
10428086244089
11155606585279
126ab71272b61
13314a339459a
1416a103a2637
15b2074e8944
hex63abedb2f9

428086244089 has 27 divisors (see below), whose sum is σ = 502108741701. Its totient is φ = 363912204600.

The previous prime is 428086244057. The next prime is 428086244101. The reversal of 428086244089 is 980442680824.

It is a happy number.

The square root of 428086244089 is 654283.

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

It is not a de Polignac number, because 428086244089 - 25 = 428086244057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (428086284089) 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, 691576822 + ... + 691577440.

It is an arithmetic number, because the mean of its divisors is an integer number (18596620063).

Almost surely, 2428086244089 is an apocalyptic number.

428086244089 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

428086244089 is the 654283-rd square number.

428086244089 is the 327142-nd centered octagonal number.

It is an amenable number.

428086244089 is a deficient number, since it is larger than the sum of its proper divisors (74022497612).

428086244089 is an frugal number, since it uses more digits than its factorization.

428086244089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 55.

It can be divided in two parts, 4280 and 86244089, that added together give a square (86248369 = 92872).

The spelling of 428086244089 in words is "four hundred twenty-eight billion, eighty-six million, two hundred forty-four thousand, eighty-nine".

Divisors: 1 7 49 151 619 1057 4333 7399 22801 30331 93469 159607 383161 654283 1117249 2682127 4579981 14113819 18774889 57857311 98796733 405001177 691577131 2835008239 8736453961 61155177727 428086244089