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466920945 = 325371731621
BaseRepresentation
bin11011110101001…
…010010111110001
31012112121001010100
4123311022113301
51424012432240
6114155423013
714366522361
oct3365122761
91175531110
10466920945
1121a623687
12110454a69
13759727aa
14460249a1
152aed1e30
hex1bd4a5f1

466920945 has 48 divisors (see below), whose sum is σ = 836523792. Its totient is φ = 240744960.

The previous prime is 466920943. The next prime is 466920947. The reversal of 466920945 is 549029664.

It is an interprime number because it is at equal distance from previous prime (466920943) and next prime (466920947).

It can be written as a sum of positive squares in 8 ways, for example, as 122744241 + 344176704 = 11079^2 + 18552^2 .

It is not a de Polignac number, because 466920945 - 21 = 466920943 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 466920945.

It is not an unprimeable number, because it can be changed into a prime (466920943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 287235 + ... + 288855.

It is an arithmetic number, because the mean of its divisors is an integer number (17427579).

Almost surely, 2466920945 is an apocalyptic number.

466920945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

466920945 is a deficient number, since it is larger than the sum of its proper divisors (369602847).

466920945 is a wasteful number, since it uses less digits than its factorization.

466920945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1839 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 466920945 is about 21608.3535929973. The cubic root of 466920945 is about 775.7964451970.

The spelling of 466920945 in words is "four hundred sixty-six million, nine hundred twenty thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 173 185 333 519 555 865 1557 1621 1665 2595 4863 6401 7785 8105 14589 19203 24315 32005 57609 59977 72945 96015 179931 280433 288045 299885 539793 841299 899655 1402165 2523897 2698965 4206495 10376021 12619485 31128063 51880105 93384189 155640315 466920945