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445040505 = 325713191569
BaseRepresentation
bin11010100001101…
…100011101111001
31011000102101210200
4122201230131321
51402412244010
6112054432413
714012532120
oct3241543571
91130371720
10445040505
11209239578
12105062709
13712814a0
144316aab7
152910dcc0
hex1a86c779

445040505 has 96 divisors (see below), whose sum is σ = 956067840. Its totient is φ = 186485760.

The previous prime is 445040503. The next prime is 445040513. The reversal of 445040505 is 505040544.

It is not a de Polignac number, because 445040505 - 21 = 445040503 is a prime.

It is a super-2 number, since 2×4450405052 = 396122102181310050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (445040503) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 781861 + ... + 782429.

It is an arithmetic number, because the mean of its divisors is an integer number (9959040).

Almost surely, 2445040505 is an apocalyptic number.

445040505 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

445040505 is an abundant number, since it is smaller than the sum of its proper divisors (511027335).

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

445040505 is a wasteful number, since it uses less digits than its factorization.

445040505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 445040505 is about 21095.9831484574. The cubic root of 445040505 is about 763.4838354723.

The spelling of 445040505 in words is "four hundred forty-five million, forty thousand, five hundred five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 191 195 273 315 455 569 573 585 819 955 1337 1365 1707 1719 2483 2845 2865 3983 4011 4095 5121 6685 7397 7449 8535 8595 11949 12033 12415 17381 19915 20055 22191 22347 25605 35847 36985 37245 51779 52143 59745 60165 66573 86905 108679 110955 111735 155337 156429 179235 258895 260715 326037 332865 466011 543395 760753 776685 782145 978111 1412827 1630185 2282259 2330055 3803765 4238481 4890555 6846777 7064135 9889789 11411295 12715443 21192405 29669367 34233885 49448945 63577215 89008101 148346835 445040505