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89000072 = 2372297829
BaseRepresentation
bin1010100111000…
…00100010001000
320012110200010222
411103200202020
5140241000242
612455325212
72130326300
oct523404210
9205420128
1089000072
1146269087
1225980808
1315591a85
14bb6a600
157c305d2
hex54e0888

89000072 has 48 divisors (see below), whose sum is σ = 200839500. Its totient is φ = 36822912.

The previous prime is 89000027. The next prime is 89000099. The reversal of 89000072 is 27000098.

It can be written as a sum of positive squares in 2 ways, for example, as 85636516 + 3363556 = 9254^2 + 1834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7454 + ... + 15282.

Almost surely, 289000072 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 89000072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100419750).

89000072 is an abundant number, since it is smaller than the sum of its proper divisors (111839428).

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

89000072 is a wasteful number, since it uses less digits than its factorization.

89000072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 89000072 is about 9433.9849480482. The cubic root of 89000072 is about 446.4746299560.

Adding to 89000072 its sum of digits (26), we get a palindrome (89000098).

The spelling of 89000072 in words is "eighty-nine million, seventy-two", and thus it is an aban number and an uban number.

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 392 406 812 1421 1624 2842 5684 7829 11368 15658 31316 54803 62632 109606 219212 227041 383621 438424 454082 767242 908164 1534484 1589287 1816328 3068968 3178574 6357148 11125009 12714296 22250018 44500036 89000072