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3882980024 = 2371127572
BaseRepresentation
bin1110011101110001…
…1001001010111000
3101000121111211012222
43213130121022320
530423020330044
61441145423212
7165136533320
oct34734311270
911017454188
103882980024
111712928400
1290449ab08
1349b5cc021
1428b9b2280
1517ad5c8ee
hexe77192b8

3882980024 has 72 divisors (see below), whose sum is σ = 9157959720. Its totient is φ = 1510850880.

The previous prime is 3882979987. The next prime is 3882980029. The reversal of 3882980024 is 4200892883.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882980029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5129054 + ... + 5129810.

It is an arithmetic number, because the mean of its divisors is an integer number (127193885).

Almost surely, 23882980024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3882980024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578979860).

3882980024 is an abundant number, since it is smaller than the sum of its proper divisors (5274979696).

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

3882980024 is an equidigital number, since it uses as much as digits as its factorization.

3882980024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1549 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 3882980024 is about 62313.5621193332. The cubic root of 3882980024 is about 1571.7677930532.

The spelling of 3882980024 in words is "three billion, eight hundred eighty-two million, nine hundred eighty thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 121 154 242 308 484 616 757 847 968 1514 1694 3028 3388 5299 6056 6776 8327 10598 16654 21196 33308 42392 58289 66616 91597 116578 183194 233156 366388 466312 573049 641179 732776 1146098 1282358 2292196 2564716 4011343 4584392 5129432 6303539 8022686 12607078 16045372 25214156 32090744 44124773 50428312 69338929 88249546 138677858 176499092 277355716 352998184 485372503 554711432 970745006 1941490012 3882980024