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89558742 = 23713198997
BaseRepresentation
bin1010101011010…
…00111011010110
320020112001111110
411111220323112
5140411334432
612515315450
72135144130
oct525507326
9206461443
1089558742
114660a899
1225babb86
1315729150
14bc74050
157ce0dcc
hex5568ed6

89558742 has 128 divisors (see below), whose sum is σ = 237081600. Its totient is φ = 21897216.

The previous prime is 89558741. The next prime is 89558779. The reversal of 89558742 is 24785598.

It is a junction number, because it is equal to n+sod(n) for n = 89558691 and 89558700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89558741) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923238 + ... + 923334.

It is an arithmetic number, because the mean of its divisors is an integer number (1852200).

Almost surely, 289558742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89558742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118540800).

89558742 is an abundant number, since it is smaller than the sum of its proper divisors (147522858).

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

89558742 is a wasteful number, since it uses less digits than its factorization.

89558742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230.

The product of its digits is 806400, while the sum is 48.

The square root of 89558742 is about 9463.5480661325. The cubic root of 89558742 is about 447.4068834479.

The spelling of 89558742 in words is "eighty-nine million, five hundred fifty-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 19 21 26 38 39 42 57 78 89 91 97 114 133 178 182 194 247 266 267 273 291 399 494 534 546 582 623 679 741 798 1157 1246 1261 1358 1482 1691 1729 1843 1869 2037 2314 2522 3382 3458 3471 3686 3738 3783 4074 5073 5187 5529 6942 7566 8099 8633 8827 10146 10374 11058 11837 12901 16198 17266 17654 21983 23674 23959 24297 25802 25899 26481 35511 38703 43966 47918 48594 51798 52962 60431 65949 71022 71877 77406 112229 120862 131898 143754 153881 164027 167713 181293 224458 307762 328054 335426 336687 362586 461643 492081 503139 673374 785603 923286 984162 1006278 1148189 1571206 2132351 2296378 2356809 3444567 4264702 4713618 6397053 6889134 12794106 14926457 29852914 44779371 89558742