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85558032 = 243479431
BaseRepresentation
bin1010001100110…
…00001100010000
312221222210120000
411012120030100
5133400324112
612253450000
72056142220
oct506301420
9187883500
1085558032
114432801a
12247a0900
1314958171
14b512080
1577a07dc
hex5198310

85558032 has 100 divisors (see below), whose sum is σ = 283035456. Its totient is φ = 24442560.

The previous prime is 85558013. The next prime is 85558043. The reversal of 85558032 is 23085558.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4357 + ... + 13787.

Almost surely, 285558032 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 85558032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141517728).

85558032 is an abundant number, since it is smaller than the sum of its proper divisors (197477424).

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

85558032 is a wasteful number, since it uses less digits than its factorization.

85558032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9458 (or 9443 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 85558032 is about 9249.7584833335. The cubic root of 85558032 is about 440.6430542172.

The spelling of 85558032 in words is "eighty-five million, five hundred fifty-eight thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 9072 9431 18862 28293 37724 56586 66017 75448 84879 113172 132034 150896 169758 198051 226344 254637 264068 339516 396102 452688 509274 528136 594153 679032 763911 792204 1018548 1056272 1188306 1358064 1527822 1584408 1782459 2037096 2376612 3055644 3168816 3564918 4074192 4753224 5347377 6111288 7129836 9506448 10694754 12222576 14259672 21389508 28519344 42779016 85558032