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44454564 = 223272112979
BaseRepresentation
bin1010100110010…
…1001010100100
310002122112012100
42221211022210
542340021224
64224452100
71046600100
oct251451244
9102575170
1044454564
1123103410
1212a7a030
13929629b
145c92900
153d81ac9
hex2a652a4

44454564 has 216 divisors, whose sum is σ = 149385600. Its totient is φ = 11007360.

The previous prime is 44454559. The next prime is 44454577. The reversal of 44454564 is 46545444.

44454564 is a `hidden beast` number, since 4 + 44 + 54 + 564 = 666.

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

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 71 ways as a sum of consecutive naturals, for example, 562677 + ... + 562755.

It is an arithmetic number, because the mean of its divisors is an integer number (691600).

Almost surely, 244454564 is an apocalyptic number.

44454564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44454564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74692800).

44454564 is an abundant number, since it is smaller than the sum of its proper divisors (104931036).

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

44454564 is a wasteful number, since it uses less digits than its factorization.

44454564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 44454564 is about 6667.4255901360. The cubic root of 44454564 is about 354.2464051018.

It can be divided in two parts, 4445 and 4564, that added together give a palindrome (9009).

The spelling of 44454564 in words is "forty-four million, four hundred fifty-four thousand, five hundred sixty-four".