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90816642 = 2327720767
BaseRepresentation
bin1010110100111…
…00000010000010
320022212222000100
411122130002002
5141222113032
613002303230
72151633360
oct532340202
9208788010
1090816642
1147299984
12264b7b16
1315a79877
14c0c0630
157e8d97c
hex569c082

90816642 has 24 divisors (see below), whose sum is σ = 224879616. Its totient is φ = 25947576.

The previous prime is 90816641. The next prime is 90816683. The reversal of 90816642 is 24661809.

90816642 is a `hidden beast` number, since 9 + 0 + 8 + 1 + 6 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 90816597 and 90816606.

It is not an unprimeable number, because it can be changed into a prime (90816641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 360258 + ... + 360509.

It is an arithmetic number, because the mean of its divisors is an integer number (9369984).

Almost surely, 290816642 is an apocalyptic number.

90816642 is an abundant number, since it is smaller than the sum of its proper divisors (134062974).

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

90816642 is a wasteful number, since it uses less digits than its factorization.

90816642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720782 (or 720779 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 90816642 is about 9529.7765975914. The cubic root of 90816642 is about 449.4918411967.

The spelling of 90816642 in words is "ninety million, eight hundred sixteen thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 720767 1441534 2162301 4324602 5045369 6486903 10090738 12973806 15136107 30272214 45408321 90816642