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89855640 = 233257181197
BaseRepresentation
bin1010101101100…
…01011010011000
320021002010202200
411112301122120
5141000340030
612525530200
72140521540
oct526613230
9207063680
1089855640
11467a2966
1226113960
1315801324
14bd10320
157d4dd60
hex55b1698

89855640 has 192 divisors, whose sum is σ = 337296960. Its totient is φ = 20321280.

The previous prime is 89855621. The next prime is 89855657. The reversal of 89855640 is 4655898.

89855640 is a `hidden beast` number, since 8 + 9 + 85 + 564 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 456022 + ... + 456218.

It is an arithmetic number, because the mean of its divisors is an integer number (1756755).

Almost surely, 289855640 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 89855640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168648480).

89855640 is an abundant number, since it is smaller than the sum of its proper divisors (247441320).

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

89855640 is a wasteful number, since it uses less digits than its factorization.

89855640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 89855640 is about 9479.2214870210. The cubic root of 89855640 is about 447.9007406584.

The spelling of 89855640 in words is "eighty-nine million, eight hundred fifty-five thousand, six hundred forty".