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89653220 = 22537971249
BaseRepresentation
bin1010101011111…
…11111111100100
320020200212002122
411111333333210
5140422400340
612521325112
72136016436
oct525777744
9206625078
1089653220
1146674878
1226036798
1315760157
14bc9a656
157d0ddb5
hex557ffe4

89653220 has 48 divisors (see below), whose sum is σ = 195510000. Its totient is φ = 34504704.

The previous prime is 89653217. The next prime is 89653279. The reversal of 89653220 is 2235698.

It can be written as a sum of positive squares in 8 ways, for example, as 652864 + 89000356 = 808^2 + 9434^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71156 + ... + 72404.

It is an arithmetic number, because the mean of its divisors is an integer number (4073125).

Almost surely, 289653220 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 89653220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97755000).

89653220 is an abundant number, since it is smaller than the sum of its proper divisors (105856780).

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

89653220 is a wasteful number, since it uses less digits than its factorization.

89653220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1390 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 89653220 is about 9468.5384299796. The cubic root of 89653220 is about 447.5641554660.

The spelling of 89653220 in words is "eighty-nine million, six hundred fifty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 97 148 185 194 370 388 485 740 970 1249 1940 2498 3589 4996 6245 7178 12490 14356 17945 24980 35890 46213 71780 92426 121153 184852 231065 242306 462130 484612 605765 924260 1211530 2423060 4482661 8965322 17930644 22413305 44826610 89653220