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89949258 = 2337476183
BaseRepresentation
bin1010101110010…
…00010001001010
320021020220012000
411113020101022
5141011334013
612531531430
72141361510
oct527102112
9207226160
1089949258
1146857233
1226159b76
1315834b19
14bd364b0
157d6b973
hex55c844a

89949258 has 128 divisors (see below), whose sum is σ = 239984640. Its totient is φ = 24442560.

The previous prime is 89949221. The next prime is 89949283. The reversal of 89949258 is 85294998.

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

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 63 ways as a sum of consecutive naturals, for example, 1083685 + ... + 1083767.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 289949258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89949258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119992320).

89949258 is an abundant number, since it is smaller than the sum of its proper divisors (150035382).

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

89949258 is a wasteful number, since it uses less digits than its factorization.

89949258 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 203 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The square root of 89949258 is about 9484.1582652337. The cubic root of 89949258 is about 448.0562382897.

The spelling of 89949258 in words is "eighty-nine million, nine hundred forty-nine thousand, two hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 61 63 83 94 122 126 141 166 183 189 249 282 329 366 378 423 427 498 549 581 658 747 846 854 987 1098 1162 1269 1281 1494 1647 1743 1974 2241 2538 2562 2867 2961 3294 3486 3843 3901 4482 5063 5229 5734 5922 7686 7802 8601 8883 10126 10458 11529 11703 15189 15687 17202 17766 20069 23058 23406 25803 27307 30378 31374 35109 35441 40138 45567 51606 54614 60207 70218 70882 77409 81921 91134 105327 106323 120414 136701 154818 163842 180621 210654 212646 237961 245763 273402 318969 361242 475922 491526 541863 637938 713883 737289 956907 1083726 1427766 1474578 1665727 1913814 2141649 3331454 4283298 4997181 6424947 9994362 12849894 14991543 29983086 44974629 89949258