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89290208 = 2571912087
BaseRepresentation
bin1010101001001…
…11010111100000
320020000102010202
411110213113200
5140324241313
612505444332
72132645210
oct524472740
9206012122
1089290208
1146447067
1225aa06a8
1315663b57
14bc04240
157c8b558
hex55275e0

89290208 has 48 divisors (see below), whose sum is σ = 202051584. Its totient is φ = 38048640.

The previous prime is 89290189. The next prime is 89290211. The reversal of 89290208 is 80209298.

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 7 ways as a sum of consecutive naturals, for example, 41741 + ... + 43827.

It is an arithmetic number, because the mean of its divisors is an integer number (4209408).

Almost surely, 289290208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89290208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101025792).

89290208 is an abundant number, since it is smaller than the sum of its proper divisors (112761376).

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

89290208 is a wasteful number, since it uses less digits than its factorization.

89290208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2295 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 38.

The square root of 89290208 is about 9449.3496072481. The cubic root of 89290208 is about 446.9592657237.

It can be divided in two parts, 89290 and 208, that added together give a palindrome (89498).

The spelling of 89290208 in words is "eighty-nine million, two hundred ninety thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 191 224 382 764 1337 1528 2087 2674 3056 4174 5348 6112 8348 10696 14609 16696 21392 29218 33392 42784 58436 66784 116872 233744 398617 467488 797234 1594468 2790319 3188936 5580638 6377872 11161276 12755744 22322552 44645104 89290208