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89144910 = 23251079257
BaseRepresentation
bin1010101000000…
…11111001001110
320012202000211100
411110003321032
5140310114120
612502403530
72131501461
oct524037116
9205660740
1089144910
1146357988
1225a305a6
131561298a
14bba72d8
157c5d490
hex5503e4e

89144910 has 48 divisors (see below), whose sum is σ = 233968176. Its totient is φ = 23547264.

The previous prime is 89144879. The next prime is 89144911. The reversal of 89144910 is 1944198.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89144911) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 5002 + ... + 14258.

It is an arithmetic number, because the mean of its divisors is an integer number (4874337).

Almost surely, 289144910 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89144910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116984088).

89144910 is an abundant number, since it is smaller than the sum of its proper divisors (144823266).

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

89144910 is a wasteful number, since it uses less digits than its factorization.

89144910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9377 (or 9374 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 89144910 is about 9441.6582230030. The cubic root of 89144910 is about 446.7166950969.

It can be divided in two parts, 8914 and 4910, that added together give a cube (13824 = 243).

The spelling of 89144910 in words is "eighty-nine million, one hundred forty-four thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 535 642 963 1070 1605 1926 3210 4815 9257 9630 18514 27771 46285 55542 83313 92570 138855 166626 277710 416565 833130 990499 1980998 2971497 4952495 5942994 8914491 9904990 14857485 17828982 29714970 44572455 89144910