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89854344 = 23321923457
BaseRepresentation
bin1010101101100…
…01000110001000
320021002001222200
411112301012020
5141000314334
612525520200
72140515006
oct526610610
9207061880
1089854344
11467a1998
1226113060
1315800868
14bd0da76
157d4d799
hex55b1188

89854344 has 72 divisors (see below), whose sum is σ = 256912110. Its totient is φ = 28366848.

The previous prime is 89854321. The next prime is 89854351. The reversal of 89854344 is 44345898.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 89529444 + 324900 = 9462^2 + 570^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 89854344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 24264 + ... + 27720.

Almost surely, 289854344 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 89854344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128456055).

89854344 is an abundant number, since it is smaller than the sum of its proper divisors (167057766).

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

89854344 is a wasteful number, since it uses less digits than its factorization.

89854344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3507 (or 3481 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 89854344 is about 9479.1531267303. The cubic root of 89854344 is about 447.8985872705.

The spelling of 89854344 in words is "eighty-nine million, eight hundred fifty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 361 456 684 722 1083 1368 1444 2166 2888 3249 3457 4332 6498 6914 8664 10371 12996 13828 20742 25992 27656 31113 41484 62226 65683 82968 124452 131366 197049 248904 262732 394098 525464 591147 788196 1182294 1247977 1576392 2364588 2495954 3743931 4729176 4991908 7487862 9983816 11231793 14975724 22463586 29951448 44927172 89854344