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445164768 = 2533515237
BaseRepresentation
bin11010100010001…
…010110011100000
31011000122201021000
4122202022303200
51402430233033
6112101232000
714013560316
oct3242126340
91130581230
10445164768
11209313974
12105102600
13712c5c09
14431a00b6
1529135a13
hex1a88ace0

445164768 has 48 divisors (see below), whose sum is σ = 1298399760. Its totient is φ = 148387968.

The previous prime is 445164679. The next prime is 445164787. The reversal of 445164768 is 867461544.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 256755 + ... + 258482.

It is an arithmetic number, because the mean of its divisors is an integer number (27049995).

Almost surely, 2445164768 is an apocalyptic number.

445164768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

445164768 is an abundant number, since it is smaller than the sum of its proper divisors (853234992).

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

445164768 is a wasteful number, since it uses less digits than its factorization.

445164768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515256 (or 515242 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 445164768 is about 21098.9281244332. The cubic root of 445164768 is about 763.5548881534.

It can be divided in two parts, 44516 and 4768, that added together give a square (49284 = 2222).

The spelling of 445164768 in words is "four hundred forty-five million, one hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 515237 1030474 1545711 2060948 3091422 4121896 4637133 6182844 8243792 9274266 12365688 13911399 16487584 18548532 24731376 27822798 37097064 49462752 55645596 74194128 111291192 148388256 222582384 445164768