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89217540 = 223251921373
BaseRepresentation
bin1010101000101…
…01101000000100
320012212201110100
411110111220010
5140314430130
612504124100
72132223306
oct524255004
9205781410
1089217540
11463a7505
1225a66630
1315639a59
14bbc5976
157c74c60
hex5515a04

89217540 has 108 divisors (see below), whose sum is σ = 285827724. Its totient is φ = 22522752.

The previous prime is 89217533. The next prime is 89217553. The reversal of 89217540 is 4571298.

It can be written as a sum of positive squares in 2 ways, for example, as 67371264 + 21846276 = 8208^2 + 4674^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 89217495 and 89217504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 64294 + ... + 65666.

It is an arithmetic number, because the mean of its divisors is an integer number (2646553).

Almost surely, 289217540 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 89217540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142913862).

89217540 is an abundant number, since it is smaller than the sum of its proper divisors (196610184).

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

89217540 is a wasteful number, since it uses less digits than its factorization.

89217540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 89217540 is about 9445.5036922337. The cubic root of 89217540 is about 446.8379816109.

It can be divided in two parts, 8921 and 7540, that added together give a palindrome (16461).

The spelling of 89217540 in words is "eighty-nine million, two hundred seventeen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 361 380 570 684 722 855 1083 1140 1373 1444 1710 1805 2166 2746 3249 3420 3610 4119 4332 5415 5492 6498 6865 7220 8238 10830 12357 12996 13730 16245 16476 20595 21660 24714 26087 27460 32490 41190 49428 52174 61785 64980 78261 82380 104348 123570 130435 156522 234783 247140 260870 313044 391305 469566 495653 521740 782610 939132 991306 1173915 1486959 1565220 1982612 2347830 2478265 2973918 4460877 4695660 4956530 5947836 7434795 8921754 9913060 14869590 17843508 22304385 29739180 44608770 89217540