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3779052552 = 23321122321397
BaseRepresentation
bin1110000100111111…
…1100010000001000
3100202100221202112100
43201033330100020
530214414140202
61422554113400
7162435262632
oct34117742010
910670852470
103779052552
11166a1a4130
1289571b860
13482c11992
1427bc7ba52
15171b7e41c
hexe13fc408

3779052552 has 96 divisors (see below), whose sum is σ = 11215975680. Its totient is φ = 1139978880.

The previous prime is 3779052547. The next prime is 3779052569. The reversal of 3779052552 is 2552509773.

3779052552 is a `hidden beast` number, since 3 + 7 + 7 + 90 + 5 + 2 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3779052498 and 3779052507.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165918 + ... + 187314.

It is an arithmetic number, because the mean of its divisors is an integer number (116833080).

Almost surely, 23779052552 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 3779052552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607987840).

3779052552 is an abundant number, since it is smaller than the sum of its proper divisors (7436923128).

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

3779052552 is a wasteful number, since it uses less digits than its factorization.

3779052552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21643 (or 21636 counting only the distinct ones).

The product of its (nonzero) digits is 661500, while the sum is 45.

The square root of 3779052552 is about 61473.9989914435. The cubic root of 3779052552 is about 1557.6180710516.

The spelling of 3779052552 in words is "three billion, seven hundred seventy-nine million, fifty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 223 264 396 446 669 792 892 1338 1784 2007 2453 2676 4014 4906 5352 7359 8028 9812 14718 16056 19624 21397 22077 29436 42794 44154 58872 64191 85588 88308 128382 171176 176616 192573 235367 256764 385146 470734 513528 706101 770292 941468 1412202 1540584 1882936 2118303 2824404 4236606 4771531 5648808 8473212 9543062 14314593 16946424 19086124 28629186 38172248 42943779 52486841 57258372 85887558 104973682 114516744 157460523 171775116 209947364 314921046 343550232 419894728 472381569 629842092 944763138 1259684184 1889526276 3779052552