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89131428 = 2235107857
BaseRepresentation
bin1010101000000…
…00100110100100
320012201100100000
411110000212210
5140304201203
612502221300
72131414251
oct524004644
9205640300
1089131428
1146348841
1225a24830
13156097b9
14bba2428
157c594a3
hex55009a4

89131428 has 72 divisors (see below), whose sum is σ = 236107872. Its totient is φ = 29398464.

The previous prime is 89131423. The next prime is 89131429. The reversal of 89131428 is 82413198.

It is a super-2 number, since 2×891314282 = 15888822914638368, which contains 22 as substring.

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 = 89131392 and 89131401.

It is not an unprimeable number, because it can be changed into a prime (89131421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103576 + ... + 104432.

It is an arithmetic number, because the mean of its divisors is an integer number (3279276).

Almost surely, 289131428 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 89131428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118053936).

89131428 is an abundant number, since it is smaller than the sum of its proper divisors (146976444).

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

89131428 is a wasteful number, since it uses less digits than its factorization.

89131428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 969 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 89131428 is about 9440.9442324378. The cubic root of 89131428 is about 446.6941739452.

The spelling of 89131428 in words is "eighty-nine million, one hundred thirty-one thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 243 321 324 428 486 642 857 963 972 1284 1714 1926 2571 2889 3428 3852 5142 5778 7713 8667 10284 11556 15426 17334 23139 26001 30852 34668 46278 52002 69417 91699 92556 104004 138834 183398 208251 275097 277668 366796 416502 550194 825291 833004 1100388 1650582 2475873 3301164 4951746 7427619 9903492 14855238 22282857 29710476 44565714 89131428