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4132485 = 33574373
BaseRepresentation
bin1111110000111010000101
321202221201000
433300322011
52024214420
6224323513
750061030
oct17607205
97687630
104132485
112372885
121473599
13b18c76
14798017
15569690
hex3f0e85

4132485 has 32 divisors (see below), whose sum is σ = 8398080. Its totient is φ = 1888704.

The previous prime is 4132477. The next prime is 4132489. The reversal of 4132485 is 5842314.

4132485 is a `hidden beast` number, since 413 + 248 + 5 = 666.

It is not a de Polignac number, because 4132485 - 23 = 4132477 is a prime.

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

4132485 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4132489) 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, 1242 + ... + 3131.

It is an arithmetic number, because the mean of its divisors is an integer number (262440).

Almost surely, 24132485 is an apocalyptic number.

4132485 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4132485 is an abundant number, since it is smaller than the sum of its proper divisors (4265595).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4132485 is a wasteful number, since it uses less digits than its factorization.

4132485 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4394 (or 4388 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 4132485 is about 2032.8514456300. The cubic root of 4132485 is about 160.4736615004.

Adding to 4132485 its reverse (5842314), we get a palindrome (9974799).

The spelling of 4132485 in words is "four million, one hundred thirty-two thousand, four hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 4373 13119 21865 30611 39357 65595 91833 118071 153055 196785 275499 459165 590355 826497 1377495 4132485