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89942112 = 25321324023
BaseRepresentation
bin1010101110001…
…10100001100000
320021020112101100
411113012201200
5141011121422
612531434400
72141331621
oct527064140
9207215340
1089942112
1146851927
1226155a00
13158317b0
14bd33a48
157d697ac
hex55c6860

89942112 has 72 divisors (see below), whose sum is σ = 275459184. Its totient is φ = 27673344.

The previous prime is 89942101. The next prime is 89942117. The reversal of 89942112 is 21124998.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×899421122 = 16179167022041088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89942117) 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 11 ways as a sum of consecutive naturals, for example, 8268 + ... + 15755.

It is an arithmetic number, because the mean of its divisors is an integer number (3825822).

Almost surely, 289942112 is an apocalyptic number.

It is an amenable number.

89942112 is an abundant number, since it is smaller than the sum of its proper divisors (185517072).

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

89942112 is a wasteful number, since it uses less digits than its factorization.

89942112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24052 (or 24041 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 89942112 is about 9483.7815242655. The cubic root of 89942112 is about 448.0443727308.

The spelling of 89942112 in words is "eighty-nine million, nine hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 24023 48046 72069 96092 144138 192184 216207 288276 312299 384368 432414 576552 624598 768736 864828 936897 1153104 1249196 1729656 1873794 2306208 2498392 2810691 3459312 3747588 4996784 5621382 6918624 7495176 9993568 11242764 14990352 22485528 29980704 44971056 89942112