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90155025 = 34522112
BaseRepresentation
bin1010101111110…
…10100000010001
320021122100110000
411113322200101
5141034430100
612540200213
72143206432
oct527724021
9207570400
1090155025
1146987894
1226239069
13158a768c
14bd8b489
157dac900
hex55fa811

90155025 has 45 divisors (see below), whose sum is σ = 167793483. Its totient is φ = 47854800.

The previous prime is 90154993. The next prime is 90155033. The reversal of 90155025 is 52055109.

The square root of 90155025 is 9495.

It is a perfect power (a square), and thus also a powerful number.

90155025 is a `hidden beast` number, since 90 + 1 + 550 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32455809 + 57699216 = 5697^2 + 7596^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 90155025 - 25 = 90154993 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90155025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 427170 + ... + 427380.

Almost surely, 290155025 is an apocalyptic number.

90155025 is the 9495-th square number.

90155025 is the 4748-th centered octagonal number.

It is an amenable number.

90155025 is a deficient number, since it is larger than the sum of its proper divisors (77638458).

90155025 is an equidigital number, since it uses as much as digits as its factorization.

90155025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The cubic root of 90155025 is about 448.3976343822.

The spelling of 90155025 in words is "ninety million, one hundred fifty-five thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 211 225 405 633 675 1055 1899 2025 3165 5275 5697 9495 15825 17091 28485 44521 47475 85455 133563 142425 222605 400689 427275 667815 1113025 1202067 2003445 3339075 3606201 6010335 10017225 18031005 30051675 90155025