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3822481312 = 251347919183
BaseRepresentation
bin1110001111010110…
…0110111110100000
3100212101200011120221
43203311212332200
530312023400222
61431145012424
7163503361246
oct34365467640
910771604527
103822481312
111691766871
128a8184114
1348bc09080
14283944796
151758ac0c7
hexe3d66fa0

3822481312 has 48 divisors (see below), whose sum is σ = 8121738240. Its totient is φ = 1760447232.

The previous prime is 3822481303. The next prime is 3822481349. The reversal of 3822481312 is 2131842283.

It is a happy number.

It is a super-2 number, since 2×38224813122 = 29222726761178482688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 189673 + ... + 208855.

It is an arithmetic number, because the mean of its divisors is an integer number (169202880).

Almost surely, 23822481312 is an apocalyptic number.

3822481312 is a gapful number since it is divisible by the number (32) 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 3822481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4060869120).

3822481312 is an abundant number, since it is smaller than the sum of its proper divisors (4299256928).

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

3822481312 is a wasteful number, since it uses less digits than its factorization.

3822481312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19685 (or 19677 counting only the distinct ones).

The product of its digits is 18432, while the sum is 34.

The square root of 3822481312 is about 61826.2186454905. The cubic root of 3822481312 is about 1563.5620597335.

The spelling of 3822481312 in words is "three billion, eight hundred twenty-two million, four hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 479 958 1916 3832 6227 7664 12454 15328 19183 24908 38366 49816 76732 99632 153464 199264 249379 306928 498758 613856 997516 1995032 3990064 7980128 9188657 18377314 36754628 73509256 119452541 147018512 238905082 294037024 477810164 955620328 1911240656 3822481312