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89138112 = 2637292287
BaseRepresentation
bin1010101000000…
…10001111000000
320012201200111120
411110002033000
5140304404422
612502312240
72131442610
oct524021700
9205650446
1089138112
1146352868
1225a28680
131560c85b
14bba4a40
157c5b45c
hex55023c0

89138112 has 112 divisors (see below), whose sum is σ = 278952960. Its totient is φ = 24579072.

The previous prime is 89138057. The next prime is 89138117. The reversal of 89138112 is 21183198.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89138117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37833 + ... + 40119.

Almost surely, 289138112 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 89138112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139476480).

89138112 is an abundant number, since it is smaller than the sum of its proper divisors (189814848).

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

89138112 is a wasteful number, since it uses less digits than its factorization.

89138112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2338 (or 2328 counting only the distinct ones).

The product of its digits is 3456, while the sum is 33.

The square root of 89138112 is about 9441.2982158176. The cubic root of 89138112 is about 446.7053395886.

The spelling of 89138112 in words is "eighty-nine million, one hundred thirty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 168 174 192 203 224 232 336 348 406 448 464 609 672 696 812 928 1218 1344 1392 1624 1856 2287 2436 2784 3248 4574 4872 5568 6496 6861 9148 9744 12992 13722 16009 18296 19488 27444 32018 36592 38976 48027 54888 64036 66323 73184 96054 109776 128072 132646 146368 192108 198969 219552 256144 265292 384216 397938 439104 464261 512288 530584 768432 795876 928522 1024576 1061168 1392783 1536864 1591752 1857044 2122336 2785566 3073728 3183504 3714088 4244672 5571132 6367008 7428176 11142264 12734016 14856352 22284528 29712704 44569056 89138112