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89296656 = 24319179547
BaseRepresentation
bin1010101001010…
…00111100010000
320020000201222120
411110220330100
5140324443111
612505534240
72133003051
oct524507420
9206021876
1089296656
1146450999
1225aa4380
1315666a77
14bc06728
157c8d406
hex5528f10

89296656 has 80 divisors (see below), whose sum is σ = 244627200. Its totient is φ = 27990144.

The previous prime is 89296643. The next prime is 89296657. The reversal of 89296656 is 65669298.

It is a junction number, because it is equal to n+sod(n) for n = 89296599 and 89296608.

It is not an unprimeable number, because it can be changed into a prime (89296657) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 162975 + ... + 163521.

It is an arithmetic number, because the mean of its divisors is an integer number (3057840).

Almost surely, 289296656 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 89296656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122313600).

89296656 is an abundant number, since it is smaller than the sum of its proper divisors (155330544).

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

89296656 is a wasteful number, since it uses less digits than its factorization.

89296656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 750 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 51.

The square root of 89296656 is about 9449.6907885920. The cubic root of 89296656 is about 446.9700243651.

The spelling of 89296656 in words is "eighty-nine million, two hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 179 228 304 358 456 537 547 716 912 1074 1094 1432 1641 2148 2188 2864 3282 3401 4296 4376 6564 6802 8592 8752 10203 10393 13128 13604 20406 20786 26256 27208 31179 40812 41572 54416 62358 81624 83144 97913 124716 163248 166288 195826 249432 293739 391652 498864 587478 783304 1174956 1566608 1860347 2349912 3720694 4699824 5581041 7441388 11162082 14882776 22324164 29765552 44648328 89296656