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445351464 = 233214941513
BaseRepresentation
bin11010100010111…
…000011000101000
31011001000012100200
4122202320120220
51403002221324
6112105232200
714015265525
oct3242703050
91131005320
10445351464
11209431168
12105192660
137135cb9c
144320c14c
1529170ec9
hex1a8b8628

445351464 has 48 divisors (see below), whose sum is σ = 1214284500. Its totient is φ = 147450624.

The previous prime is 445351457. The next prime is 445351477. The reversal of 445351464 is 464153544.

It can be written as a sum of positive squares in 2 ways, for example, as 442260900 + 3090564 = 21030^2 + 1758^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10029 + ... + 31484.

Almost surely, 2445351464 is an apocalyptic number.

It is an amenable number.

445351464 is an abundant number, since it is smaller than the sum of its proper divisors (768933036).

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

445351464 is a wasteful number, since it uses less digits than its factorization.

445351464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41674 (or 41667 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 445351464 is about 21103.3519612407. The cubic root of 445351464 is about 763.6616147185.

The spelling of 445351464 in words is "four hundred forty-five million, three hundred fifty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5364 10728 41513 83026 124539 166052 249078 332104 373617 498156 747234 996312 1494468 2988936 6185437 12370874 18556311 24741748 37112622 49483496 55668933 74225244 111337866 148450488 222675732 445351464