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4383444640 = 255311994441
BaseRepresentation
bin1000001010100011…
…00000111010100000
3102022111020001121111
410011101200322200
532434130212030
62002544233104
7213424443661
oct40521407240
912274201544
104383444640
11194a381923
12a2400b794
1354b1b7733
142d8249368
151a9c6862a
hex105460ea0

4383444640 has 96 divisors (see below), whose sum is σ = 10746086400. Its totient is φ = 1687910400.

The previous prime is 4383444619. The next prime is 4383444641. The reversal of 4383444640 is 464443834.

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 = 4383444593 and 4383444602.

It is not an unprimeable number, because it can be changed into a prime (4383444641) 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 15 ways as a sum of consecutive naturals, for example, 984820 + ... + 989260.

It is an arithmetic number, because the mean of its divisors is an integer number (111938400).

Almost surely, 24383444640 is an apocalyptic number.

4383444640 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 4383444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5373043200).

4383444640 is an abundant number, since it is smaller than the sum of its proper divisors (6362641760).

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

4383444640 is a wasteful number, since it uses less digits than its factorization.

4383444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4686 (or 4678 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 40.

The square root of 4383444640 is about 66207.5874805902. The cubic root of 4383444640 is about 1636.5847826670.

The spelling of 4383444640 in words is "four billion, three hundred eighty-three million, four hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 199 248 310 398 496 620 796 992 995 1240 1592 1990 2480 3184 3980 4441 4960 6169 6368 7960 8882 12338 15920 17764 22205 24676 30845 31840 35528 44410 49352 61690 71056 88820 98704 123380 137671 142112 177640 197408 246760 275342 355280 493520 550684 688355 710560 883759 987040 1101368 1376710 1767518 2202736 2753420 3535036 4405472 4418795 5506840 7070072 8837590 11013680 14140144 17675180 22027360 27396529 28280288 35350360 54793058 70700720 109586116 136982645 141401440 219172232 273965290 438344464 547930580 876688928 1095861160 2191722320 4383444640