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89934894 = 2337241829
BaseRepresentation
bin1010101110001…
…00110000101110
320021020011111000
411113010300232
5141010404034
612531341130
72141301600
oct527046056
9207204430
1089934894
1146847465
12261517a6
131582b41a
14bd31170
157d67599
hex55c4c2e

89934894 has 96 divisors (see below), whose sum is σ = 238442400. Its totient is φ = 25038720.

The previous prime is 89934881. The next prime is 89934907. The reversal of 89934894 is 49843998.

It is an interprime number because it is at equal distance from previous prime (89934881) and next prime (89934907).

It is a super-3 number, since 3×899348943 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 89934894.

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 47 ways as a sum of consecutive naturals, for example, 108072 + ... + 108900.

It is an arithmetic number, because the mean of its divisors is an integer number (2483775).

Almost surely, 289934894 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89934894, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119221200).

89934894 is an abundant number, since it is smaller than the sum of its proper divisors (148507506).

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

89934894 is a wasteful number, since it uses less digits than its factorization.

89934894 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 895 (or 882 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 89934894 is about 9483.4009722251. The cubic root of 89934894 is about 448.0323869815.

The spelling of 89934894 in words is "eighty-nine million, nine hundred thirty-four thousand, eight hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 49 54 63 82 98 123 126 147 189 246 287 294 369 378 441 574 738 829 861 882 1107 1323 1658 1722 2009 2214 2487 2583 2646 4018 4974 5166 5803 6027 7461 7749 11606 12054 14922 15498 17409 18081 22383 33989 34818 36162 40621 44766 52227 54243 67978 81242 101967 104454 108486 121863 156681 203934 237923 243726 305901 313362 365589 475846 611802 713769 731178 917703 1096767 1427538 1665461 1835406 2141307 2193534 3330922 4282614 4996383 6423921 9992766 12847842 14989149 29978298 44967447 89934894