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44459680 = 2552411153
BaseRepresentation
bin1010100110011…
…0011010100000
310002122210012211
42221212122200
542340202210
64224531504
71046621026
oct251463240
9102583184
1044459680
1123107241
1212a80b94
139298705
145c94716
153d8338a
hex2a666a0

44459680 has 48 divisors (see below), whose sum is σ = 105563304. Its totient is φ = 17694720.

The previous prime is 44459669. The next prime is 44459687. The reversal of 44459680 is 8695444.

It can be written as a sum of positive squares in 4 ways, for example, as 43086096 + 1373584 = 6564^2 + 1172^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (44459687) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 37984 + ... + 39136.

Almost surely, 244459680 is an apocalyptic number.

44459680 is a gapful number since it is divisible by the number (40) 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 44459680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52781652).

44459680 is an abundant number, since it is smaller than the sum of its proper divisors (61103624).

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

44459680 is a wasteful number, since it uses less digits than its factorization.

44459680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1409 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 44459680 is about 6667.8092354236. The cubic root of 44459680 is about 354.2599939209.

The spelling of 44459680 in words is "forty-four million, four hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 482 964 1153 1205 1928 2306 2410 3856 4612 4820 5765 7712 9224 9640 11530 18448 19280 23060 36896 38560 46120 92240 184480 277873 555746 1111492 1389365 2222984 2778730 4445968 5557460 8891936 11114920 22229840 44459680