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4044884440 = 235435694133
BaseRepresentation
bin1111000100011000…
…0000100111011000
3101102220011102022211
43301012000213120
531240442300230
61505211524504
7202143644002
oct36106004730
911386142284
104044884440
111796260603
1294a759734
134c600855c
142a52b9372
1518a18e42a
hexf11809d8

4044884440 has 64 divisors (see below), whose sum is σ = 9331264800. Its totient is φ = 1577167872.

The previous prime is 4044884423. The next prime is 4044884449. The reversal of 4044884440 is 444884404.

It is a super-2 number, since 2×40448844402 = 32722180265908227200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4044884393 and 4044884402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044884449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976614 + ... + 980746.

Almost surely, 24044884440 is an apocalyptic number.

4044884440 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 4044884440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665632400).

4044884440 is an abundant number, since it is smaller than the sum of its proper divisors (5286380360).

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

4044884440 is a wasteful number, since it uses less digits than its factorization.

4044884440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4756 (or 4752 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The square root of 4044884440 is about 63599.4059720686. The cubic root of 4044884440 is about 1593.3164483348.

The spelling of 4044884440 in words is "four billion, forty-four million, eight hundred eighty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 569 860 1138 1720 2276 2845 4133 4552 5690 8266 11380 16532 20665 22760 24467 33064 41330 48934 82660 97868 122335 165320 177719 195736 244670 355438 489340 710876 888595 978680 1421752 1777190 2351677 3554380 4703354 7108760 9406708 11758385 18813416 23516770 47033540 94067080 101122111 202244222 404488444 505610555 808976888 1011221110 2022442220 4044884440