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89928288 = 2532312251
BaseRepresentation
bin1010101110000…
…11001001100000
320021012211102100
411113003021200
5141010201123
612531250400
72141243412
oct527031140
9207184370
1089928288
11468424aa
1226149a00
1315828408
14bd2c9b2
157d65643
hex55c3260

89928288 has 36 divisors (see below), whose sum is σ = 255734388. Its totient is φ = 29976000.

The previous prime is 89928287. The next prime is 89928301. The reversal of 89928288 is 88282998.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×899282882 = 16174193965221888, which contains 22 as substring.

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 (89928287) 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 5 ways as a sum of consecutive naturals, for example, 155838 + ... + 156413.

It is an arithmetic number, because the mean of its divisors is an integer number (7103733).

Almost surely, 289928288 is an apocalyptic number.

It is an amenable number.

89928288 is an abundant number, since it is smaller than the sum of its proper divisors (165806100).

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

89928288 is a wasteful number, since it uses less digits than its factorization.

89928288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312267 (or 312256 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The square root of 89928288 is about 9483.0526730584. The cubic root of 89928288 is about 448.0214169183.

The spelling of 89928288 in words is "eighty-nine million, nine hundred twenty-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 312251 624502 936753 1249004 1873506 2498008 2810259 3747012 4996016 5620518 7494024 9992032 11241036 14988048 22482072 29976096 44964144 89928288