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466832385 = 32597106949
BaseRepresentation
bin11011110100110…
…100110000000001
31012112102112122100
4123310310300001
51424002114020
6114153501013
714366003235
oct3364646001
91175375570
10466832385
1121a573098
12110411769
13759413a6
14460005c5
152aeb5a90
hex1bd34c01

466832385 has 24 divisors (see below), whose sum is σ = 817525800. Its totient is φ = 246408192.

The previous prime is 466832383. The next prime is 466832407. The reversal of 466832385 is 583238664.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46131264 + 420701121 = 6792^2 + 20511^2 .

It is not a de Polignac number, because 466832385 - 21 = 466832383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 466832385.

It is not an unprimeable number, because it can be changed into a prime (466832383) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 49110 + ... + 57839.

It is an arithmetic number, because the mean of its divisors is an integer number (34063575).

Almost surely, 2466832385 is an apocalyptic number.

466832385 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

466832385 is a deficient number, since it is larger than the sum of its proper divisors (350693415).

466832385 is a wasteful number, since it uses less digits than its factorization.

466832385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107057 (or 107054 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 466832385 is about 21606.3042883321. The cubic root of 466832385 is about 775.7473941545.

The spelling of 466832385 in words is "four hundred sixty-six million, eight hundred thirty-two thousand, three hundred eighty-five".

Divisors: 1 3 5 9 15 45 97 291 485 873 1455 4365 106949 320847 534745 962541 1604235 4812705 10374053 31122159 51870265 93366477 155610795 466832385