Search a number
-
+
90265617 = 33132291123
BaseRepresentation
bin1010110000101…
…01100000010001
320021211222011000
411120111200101
5141101444432
612542412213
72144150031
oct530254021
9207758130
1090265617
1146a52992
1226291069
1315915b10
14bdb98c1
157dd057c
hex5615811

90265617 has 32 divisors (see below), whose sum is σ = 144771200. Its totient is φ = 55256256.

The previous prime is 90265579. The next prime is 90265633. The reversal of 90265617 is 71656209.

90265617 is a `hidden beast` number, since 90 + 2 + 6 + 561 + 7 = 666.

It is not a de Polignac number, because 90265617 - 210 = 90264593 is a prime.

It is a super-2 number, since 2×902656172 = 16295763224781378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90265687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79818 + ... + 80940.

It is an arithmetic number, because the mean of its divisors is an integer number (4524100).

Almost surely, 290265617 is an apocalyptic number.

It is an amenable number.

90265617 is a deficient number, since it is larger than the sum of its proper divisors (54505583).

90265617 is a wasteful number, since it uses less digits than its factorization.

90265617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 90265617 is about 9500.8219118137. The cubic root of 90265617 is about 448.5809073174.

The spelling of 90265617 in words is "ninety million, two hundred sixty-five thousand, six hundred seventeen".

Divisors: 1 3 9 13 27 39 117 229 351 687 1123 2061 2977 3369 6183 8931 10107 14599 26793 30321 43797 80379 131391 257167 394173 771501 2314503 3343171 6943509 10029513 30088539 90265617