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3682482216 = 233740953593
BaseRepresentation
bin1101101101111110…
…0011100000101000
3100111122020110221020
43123133203200220
530020203412331
61405224212440
7160153403520
oct33337434050
910448213836
103682482216
11161a735436
1286930a120
13468bcc27a
1426d100680
15168455c96
hexdb7e3828

3682482216 has 64 divisors (see below), whose sum is σ = 10547299200. Its totient is φ = 1049545728.

The previous prime is 3682482211. The next prime is 3682482301. The reversal of 3682482216 is 6122842863.

It is a super-3 number, since 3×36824822163 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3682482211) 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 15 ways as a sum of consecutive naturals, for example, 41916 + ... + 95508.

It is an arithmetic number, because the mean of its divisors is an integer number (164801550).

Almost surely, 23682482216 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 3682482216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5273649600).

3682482216 is an abundant number, since it is smaller than the sum of its proper divisors (6864816984).

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

3682482216 is a wasteful number, since it uses less digits than its factorization.

3682482216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54018 (or 54014 counting only the distinct ones).

The product of its digits is 221184, while the sum is 42.

The square root of 3682482216 is about 60683.4591631031. The cubic root of 3682482216 is about 1544.2355732893.

The spelling of 3682482216 in words is "three billion, six hundred eighty-two million, four hundred eighty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 409 818 1227 1636 2454 2863 3272 4908 5726 8589 9816 11452 17178 22904 34356 53593 68712 107186 160779 214372 321558 375151 428744 643116 750302 1125453 1286232 1500604 2250906 3001208 4501812 9003624 21919537 43839074 65758611 87678148 131517222 153436759 175356296 263034444 306873518 460310277 526068888 613747036 920620554 1227494072 1841241108 3682482216