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445505544 = 233211251137
BaseRepresentation
bin11010100011011…
…110000000001000
31011001022000201100
4122203132000020
51403022134134
6112112421400
714016506661
oct3243360010
91131260640
10445505544
11209526a00
12105247860
13713b5063
144324c368
15291a1999
hex1a8de008

445505544 has 72 divisors (see below), whose sum is σ = 1326264030. Its totient is φ = 134999040.

The previous prime is 445505513. The next prime is 445505573.

445505544 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 283248900 + 162256644 = 16830^2 + 12738^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 445505499 and 445505508.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 16857 + ... + 34280.

Almost surely, 2445505544 is an apocalyptic number.

445505544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445505544 is an abundant number, since it is smaller than the sum of its proper divisors (880758486).

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

445505544 is a wasteful number, since it uses less digits than its factorization.

445505544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51171 (or 51153 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

The square root of 445505544 is about 21107.0022504381. The cubic root of 445505544 is about 763.7496735694.

The spelling of 445505544 in words is "four hundred forty-five million, five hundred five thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 51137 102274 153411 204548 306822 409096 460233 562507 613644 920466 1125014 1227288 1687521 1840932 2250028 3375042 3681864 4500056 5062563 6187577 6750084 10125126 12375154 13500168 18562731 20250252 24750308 37125462 40500504 49500616 55688193 74250924 111376386 148501848 222752772 445505544