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3481522772 = 22713711071259
BaseRepresentation
bin1100111110000011…
…1101001001010100
322222122002200101212
43033200331021110
524112232212042
61333245040552
7152163312110
oct31740751124
98878080355
103481522772
111527257652
12811b56158
1343639a360
1425054c740
151559ac482
hexcf83d254

3481522772 has 96 divisors (see below), whose sum is σ = 7681443840. Its totient is φ = 1344147840.

The previous prime is 3481522771. The next prime is 3481522783. The reversal of 3481522772 is 2772251843.

3481522772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3481522771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764679 + ... + 2765937.

It is an arithmetic number, because the mean of its divisors is an integer number (80015040).

Almost surely, 23481522772 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 3481522772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3840721920).

3481522772 is an abundant number, since it is smaller than the sum of its proper divisors (4199921068).

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

3481522772 is a wasteful number, since it uses less digits than its factorization.

3481522772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461 (or 1459 counting only the distinct ones).

The product of its digits is 188160, while the sum is 41.

The square root of 3481522772 is about 59004.4301048659. The cubic root of 3481522772 is about 1515.6179729760.

The spelling of 3481522772 in words is "three billion, four hundred eighty-one million, five hundred twenty-two thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 13 14 26 28 52 71 91 107 142 182 214 284 364 428 497 749 923 994 1259 1391 1498 1846 1988 2518 2782 2996 3692 5036 5564 6461 7597 8813 9737 12922 15194 16367 17626 19474 25844 30388 32734 35252 38948 53179 65468 89389 98761 106358 114569 134713 178778 197522 212716 229138 269426 357556 395044 458276 538852 625723 691327 942991 1162057 1251446 1382654 1751269 1885982 2324114 2502892 2765308 3502538 3771964 4648228 7005076 8134399 9564623 12258883 16268798 19129246 24517766 32537596 38258492 49035532 66952361 124340099 133904722 248680198 267809444 497360396 870380693 1740761386 3481522772