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90440064 = 2734111361
BaseRepresentation
bin1010110010000…
…00000110000000
320022011211110000
411121000012000
5141123040224
612550240000
72145504441
oct531000600
9208154400
1090440064
1147061a60
1226356000
1315977340
14c0232c8
157e170c9
hex5640180

90440064 has 320 divisors, whose sum is σ = 321385680. Its totient is φ = 24883200.

The previous prime is 90440047. The next prime is 90440081. The reversal of 90440064 is 46004409.

It is an interprime number because it is at equal distance from previous prime (90440047) and next prime (90440081).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1482594 + ... + 1482654.

Almost surely, 290440064 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 90440064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160692840).

90440064 is an abundant number, since it is smaller than the sum of its proper divisors (230945616).

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

90440064 is a wasteful number, since it uses less digits than its factorization.

90440064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 90440064 is about 9509.9981072553. The cubic root of 90440064 is about 448.8696966310.

The spelling of 90440064 in words is "ninety million, four hundred forty thousand, sixty-four".