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4484812480 = 26556924631
BaseRepresentation
bin1000010110101000…
…01100111011000000
3102120112222002010221
410023110030323000
533141102444410
62021005032424
7216065164021
oct41324147300
912515862127
104484812480
1119a1617aa5
12a51b55714
135661b99c5
143078b4c48
151b3add4da
hex10b50cec0

4484812480 has 56 divisors (see below), whose sum is σ = 10698662880. Its totient is φ = 1790699520.

The previous prime is 4484812463. The next prime is 4484812559. The reversal of 4484812480 is 842184844.

It is a super-2 number, since 2×44848124802 = 40227085961527500800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 169765 + ... + 194395.

Almost surely, 24484812480 is an apocalyptic number.

4484812480 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 4484812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5349331440).

4484812480 is an abundant number, since it is smaller than the sum of its proper divisors (6213850400).

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

4484812480 is a wasteful number, since it uses less digits than its factorization.

4484812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25217 (or 25207 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 43.

The square root of 4484812480 is about 66968.7425594956. The cubic root of 4484812480 is about 1649.1041944909.

The spelling of 4484812480 in words is "four billion, four hundred eighty-four million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 569 1138 2276 2845 4552 5690 9104 11380 18208 22760 24631 36416 45520 49262 91040 98524 123155 182080 197048 246310 394096 492620 788192 985240 1576384 1970480 3940960 7881920 14015039 28030078 56060156 70075195 112120312 140150390 224240624 280300780 448481248 560601560 896962496 1121203120 2242406240 4484812480