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89435214 = 2321133733
BaseRepresentation
bin1010101010010…
…10110001001110
320020021210001100
411111022301032
5140343411324
612512523530
72134121031
oct525126116
9206253040
1089435214
1146536000
1225b505a6
13156b4b5b
14bc41018
157cb94c9
hex554ac4e

89435214 has 48 divisors (see below), whose sum is σ = 213196464. Its totient is φ = 27094320.

The previous prime is 89435183. The next prime is 89435231. The reversal of 89435214 is 41253498.

89435214 is a `hidden beast` number, since 8 + 9 + 435 + 214 = 666.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 22092 + ... + 25824.

It is an arithmetic number, because the mean of its divisors is an integer number (4441593).

Almost surely, 289435214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89435214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106598232).

89435214 is an abundant number, since it is smaller than the sum of its proper divisors (123761250).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89435214 is a wasteful number, since it uses less digits than its factorization.

89435214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774 (or 3749 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 89435214 is about 9457.0192978549. The cubic root of 89435214 is about 447.2010866501.

The spelling of 89435214 in words is "eighty-nine million, four hundred thirty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 1331 2178 2662 3733 3993 7466 7986 11199 11979 22398 23958 33597 41063 67194 82126 123189 246378 369567 451693 739134 903386 1355079 2710158 4065237 4968623 8130474 9937246 14905869 29811738 44717607 89435214