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89788972 = 227213131269
BaseRepresentation
bin1010101101000…
…01001000101100
320020221202022111
411112201020230
5140441221342
612524253404
72140123300
oct526411054
9206852274
1089788972
1146757869
12260a1264
13157a9b90
14bcd3d00
157d39217
hex55a122c

89788972 has 72 divisors (see below), whose sum is σ = 199085040. Its totient is φ = 35118720.

The previous prime is 89788969. The next prime is 89788981. The reversal of 89788972 is 27988798.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333654 + ... + 333922.

It is an arithmetic number, because the mean of its divisors is an integer number (2765070).

Almost surely, 289788972 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 89788972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99542520).

89788972 is an abundant number, since it is smaller than the sum of its proper divisors (109296068).

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

89788972 is a wasteful number, since it uses less digits than its factorization.

89788972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 58.

The square root of 89788972 is about 9475.7043010005. The cubic root of 89788972 is about 447.7899405847.

The spelling of 89788972 in words is "eighty-nine million, seven hundred eighty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 131 182 196 262 269 364 524 538 637 917 1076 1274 1703 1834 1883 2548 3406 3497 3668 3766 6419 6812 6994 7532 11921 12838 13181 13988 23842 24479 25676 26362 35239 47684 48958 52724 70478 83447 97916 140956 166894 171353 246673 333788 342706 458107 493346 685412 916214 986692 1726711 1832428 3206749 3453422 6413498 6906844 12826996 22447243 44894486 89788972