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90477 = 341117
BaseRepresentation
bin10110000101101101
311121010000
4112011231
510343402
61534513
7524532
oct260555
9147100
1090477
1161a82
1244439
133224a
1424d89
151bc1c
hex1616d

90477 has 10 divisors (see below), whose sum is σ = 135278. Its totient is φ = 60264.

The previous prime is 90473. The next prime is 90481. The reversal of 90477 is 77409.

It is an interprime number because it is at equal distance from previous prime (90473) and next prime (90481).

It can be written as a sum of positive squares in only one way, i.e., 54756 + 35721 = 234^2 + 189^2 .

It is not a de Polignac number, because 90477 - 22 = 90473 is a prime.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 90477.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 90477.

It is not an unprimeable number, because it can be changed into a prime (90473) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 478 + ... + 639.

290477 is an apocalyptic number.

It is an amenable number.

90477 is a deficient number, since it is larger than the sum of its proper divisors (44801).

90477 is a wasteful number, since it uses less digits than its factorization.

90477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 90477 is about 300.7939494072. The cubic root of 90477 is about 44.8930794902.

The spelling of 90477 in words is "ninety thousand, four hundred seventy-seven".

Divisors: 1 3 9 27 81 1117 3351 10053 30159 90477