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2082465 = 325711601
BaseRepresentation
bin111111100011010100001
310220210121100
413330122201
51013114330
6112345013
723462220
oct7743241
93823540
102082465
1111a2650
12845169
1357bb38
143c2cb7
152b2060
hex1fc6a1

2082465 has 48 divisors (see below), whose sum is σ = 4507776. Its totient is φ = 864000.

The previous prime is 2082463. The next prime is 2082469. The reversal of 2082465 is 5642802.

It is not a de Polignac number, because 2082465 - 21 = 2082463 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2082463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3165 + ... + 3765.

It is an arithmetic number, because the mean of its divisors is an integer number (93912).

22082465 is an apocalyptic number.

It is an amenable number.

2082465 is an abundant number, since it is smaller than the sum of its proper divisors (2425311).

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

2082465 is a wasteful number, since it uses less digits than its factorization.

2082465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

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

The square root of 2082465 is about 1443.0748421340. The cubic root of 2082465 is about 127.7004919458.

The spelling of 2082465 in words is "two million, eighty-two thousand, four hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 601 693 1155 1803 3005 3465 4207 5409 6611 9015 12621 19833 21035 27045 33055 37863 46277 59499 63105 99165 138831 189315 231385 297495 416493 694155 2082465