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89493930 = 2335461719
BaseRepresentation
bin1010101010110…
…01000110101010
320020101202121000
411111121012222
5140402301210
612514055430
72134454151
oct525310652
9206352530
1089493930
1146576129
1225b7a576
13157057b6
14bc58598
157ccbac0
hex55591aa

89493930 has 64 divisors (see below), whose sum is σ = 239500800. Its totient is φ = 23780160.

The previous prime is 89493889. The next prime is 89493941. The reversal of 89493930 is 3939498.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 124111 + ... + 124829.

It is an arithmetic number, because the mean of its divisors is an integer number (3742200).

Almost surely, 289493930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89493930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119750400).

89493930 is an abundant number, since it is smaller than the sum of its proper divisors (150006870).

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

89493930 is a wasteful number, since it uses less digits than its factorization.

89493930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 89493930 is about 9460.1231493041. The cubic root of 89493930 is about 447.2989307157.

The spelling of 89493930 in words is "eighty-nine million, four hundred ninety-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 461 719 922 1383 1438 2157 2305 2766 3595 4149 4314 4610 6471 6915 7190 8298 10785 12447 12942 13830 19413 20745 21570 24894 32355 38826 41490 62235 64710 97065 124470 194130 331459 662918 994377 1657295 1988754 2983131 3314590 4971885 5966262 8949393 9943770 14915655 17898786 29831310 44746965 89493930