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90523509 = 3711133761
BaseRepresentation
bin1010110010101…
…00011101110101
320022100001220120
411121110131311
5141133223014
612552122153
72146302636
oct531243565
9208301816
1090523509
114710971a
1226396359
13159a630b
14c04588d
157e31ba9
hex5654775

90523509 has 16 divisors (see below), whose sum is σ = 123513984. Its totient is φ = 58956800.

The previous prime is 90523483. The next prime is 90523513. The reversal of 90523509 is 90532509.

It is a cyclic number.

It is not a de Polignac number, because 90523509 - 28 = 90523253 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 90523509.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90523109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22189 + ... + 25949.

It is an arithmetic number, because the mean of its divisors is an integer number (7719624).

Almost surely, 290523509 is an apocalyptic number.

It is an amenable number.

90523509 is a deficient number, since it is larger than the sum of its proper divisors (32990475).

90523509 is a wasteful number, since it uses less digits than its factorization.

90523509 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948.

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 90523509 is about 9514.3843205958. The cubic root of 90523509 is about 449.0077048560.

It can be divided in two parts, 9052 and 3509, that added together give a triangular number (12561 = T158).

The spelling of 90523509 in words is "ninety million, five hundred twenty-three thousand, five hundred nine".

Divisors: 1 3 71 113 213 339 3761 8023 11283 24069 267031 424993 801093 1274979 30174503 90523509