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89346944 = 276111443
BaseRepresentation
bin1010101001101…
…01001110000000
320020010021222002
411110311032000
5140333100234
612511003132
72133302501
oct524651600
9206107862
1089346944
1146485755
1225b094a8
131568391b
14bc1aba8
157c9d27e
hex5535380

89346944 has 32 divisors (see below), whose sum is σ = 180929640. Its totient is φ = 43937280.

The previous prime is 89346937. The next prime is 89346947. The reversal of 89346944 is 44964398.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89346947) 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 3 ways as a sum of consecutive naturals, for example, 2087 + ... + 13529.

Almost surely, 289346944 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 89346944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90464820).

89346944 is an abundant number, since it is smaller than the sum of its proper divisors (91582696).

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

89346944 is a wasteful number, since it uses less digits than its factorization.

89346944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11518 (or 11506 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 89346944 is about 9452.3512418869. The cubic root of 89346944 is about 447.0539133239.

The spelling of 89346944 in words is "eighty-nine million, three hundred forty-six thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 3904 7808 11443 22886 45772 91544 183088 366176 698023 732352 1396046 1464704 2792092 5584184 11168368 22336736 44673472 89346944