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47859000289 = 31270572
BaseRepresentation
bin101100100100100111…
…100110001111100001
311120112101011010011021
4230210213212033201
51241003401002124
633553000245441
73312663535042
oct544447461741
9146471133137
1047859000289
111932a181301
129337a70881
1346893282a9
1424602508c9
1513a192e7e4
hexb249e63e1

47859000289 has 9 divisors (see below), whose sum is σ = 49459648851. Its totient is φ = 46308598560.

The previous prime is 47859000271. The next prime is 47859000313. The reversal of 47859000289 is 98200095874.

The square root of 47859000289 is 218767.

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

47859000289 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47831877025 + 27123264 = 218705^2 + 5208^2 .

It is not a de Polignac number, because 47859000289 - 223 = 47850611681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47859000209) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6778249 + ... + 6785305.

It is an arithmetic number, because the mean of its divisors is an integer number (5495516539).

Almost surely, 247859000289 is an apocalyptic number.

47859000289 is the 218767-th square number.

47859000289 is the 109384-th centered octagonal number.

It is an amenable number.

47859000289 is a deficient number, since it is larger than the sum of its proper divisors (1600648562).

47859000289 is an frugal number, since it uses more digits than its factorization.

47859000289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14176 (or 7088 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The spelling of 47859000289 in words is "forty-seven billion, eight hundred fifty-nine million, two hundred eighty-nine", and thus it is an aban number.

Divisors: 1 31 961 7057 218767 6781777 49801249 1543838719 47859000289