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90440649 = 32137310589
BaseRepresentation
bin1010110010000…
…00001111001001
320022011212020200
411121000033021
5141123100044
612550242413
72145506235
oct531001711
9208155220
1090440649
1147062442
1226356409
13159776a0
14c0235c5
157e17369
hex56403c9

90440649 has 24 divisors (see below), whose sum is σ = 142626120. Its totient is φ = 54888192.

The previous prime is 90440641. The next prime is 90440657. The reversal of 90440649 is 94604409.

90440649 is a `hidden beast` number, since 9 + 0 + 4 + 4 + 0 + 649 = 666.

It is an interprime number because it is at equal distance from previous prime (90440641) and next prime (90440657).

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 90383049 = 240^2 + 9507^2 .

It is not a de Polignac number, because 90440649 - 23 = 90440641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90440641) 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 23 ways as a sum of consecutive naturals, for example, 3247 + ... + 13835.

It is an arithmetic number, because the mean of its divisors is an integer number (5942755).

Almost surely, 290440649 is an apocalyptic number.

It is an amenable number.

90440649 is a deficient number, since it is larger than the sum of its proper divisors (52185471).

90440649 is a wasteful number, since it uses less digits than its factorization.

90440649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10681 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90440649 is about 9510.0288643095. The cubic root of 90440649 is about 448.8706644477.

The spelling of 90440649 in words is "ninety million, four hundred forty thousand, six hundred forty-nine".

Divisors: 1 3 9 13 39 73 117 219 657 949 2847 8541 10589 31767 95301 137657 412971 772997 1238913 2318991 6956973 10048961 30146883 90440649