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89434849 = 741932
BaseRepresentation
bin1010101010010…
…10101011100001
320020021202112211
411111022223201
5140343403344
612512522121
72134120000
oct525125341
9206252484
1089434849
11465357a9
1225b50341
13156b493a
14bc40c37
157cb9334
hex554aae1

89434849 has 15 divisors (see below), whose sum is σ = 104877843. Its totient is φ = 76261248.

The previous prime is 89434847. The next prime is 89434853. The reversal of 89434849 is 94843498.

The square root of 89434849 is 9457.

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., 21669025 + 67765824 = 4655^2 + 8232^2 .

It is not a de Polignac number, because 89434849 - 21 = 89434847 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (89434847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 463297 + ... + 463489.

Almost surely, 289434849 is an apocalyptic number.

89434849 is the 9457-th square number.

89434849 is the 4729-th centered octagonal number.

It is an amenable number.

89434849 is a deficient number, since it is larger than the sum of its proper divisors (15442994).

89434849 is an frugal number, since it uses more digits than its factorization.

89434849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 200 counting only the distinct ones).

The product of its digits is 995328, while the sum is 49.

The cubic root of 89434849 is about 447.2004782819.

Multiplying 89434849 by its sum of digits (49), we get a square (4382307601 = 661992).

89434849 divided by its sum of digits (49) gives a square (1825201 = 13512).

The spelling of 89434849 in words is "eighty-nine million, four hundred thirty-four thousand, eight hundred forty-nine".

Divisors: 1 7 49 193 343 1351 2401 9457 37249 66199 260743 463393 1825201 12776407 89434849