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89936640 = 2832537211
BaseRepresentation
bin1010101110001…
…01001100000000
320021020020212200
411113011030000
5141010433030
612531353200
72141306643
oct527051400
9207206780
1089936640
1146848802
1226152800
131582c161
14bd31a5a
157d67d60
hex55c5300

89936640 has 216 divisors, whose sum is σ = 321096048. Its totient is φ = 23224320.

The previous prime is 89936629. The next prime is 89936669. The reversal of 89936640 is 4663998.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 426135 + ... + 426345.

Almost surely, 289936640 is an apocalyptic number.

89936640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160548024).

89936640 is an abundant number, since it is smaller than the sum of its proper divisors (231159408).

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

89936640 is a wasteful number, since it uses less digits than its factorization.

89936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 89936640 is about 9483.4930273608. The cubic root of 89936640 is about 448.0352863363.

The spelling of 89936640 in words is "eighty-nine million, nine hundred thirty-six thousand, six hundred forty".