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3972927348 = 2232138489161
BaseRepresentation
bin1110110011001110…
…0000111101110100
3101020212202121202100
43230303200331310
531114032133343
61454121342100
7200311216365
oct35463407564
911225677670
103972927348
111759683135
1292a637930
134b4132cb0
14299907b6c
15183bc89d3
hexecce0f74

3972927348 has 36 divisors (see below), whose sum is σ = 10815192388. Its totient is φ = 1222439040.

The previous prime is 3972927323. The next prime is 3972927359. The reversal of 3972927348 is 8437292793.

3972927348 is a `hidden beast` number, since 3 + 9 + 7 + 292 + 7 + 348 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 431725284 + 3541202064 = 20778^2 + 59508^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 3972927294 and 3972927303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4244113 + ... + 4245048.

Almost surely, 23972927348 is an apocalyptic number.

It is an amenable number.

3972927348 is an abundant number, since it is smaller than the sum of its proper divisors (6842265040).

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

3972927348 is a wasteful number, since it uses less digits than its factorization.

3972927348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8489184 (or 8489179 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 3972927348 is about 63031.1617218023. The cubic root of 3972927348 is about 1583.8116789047.

The spelling of 3972927348 in words is "three billion, nine hundred seventy-two million, nine hundred twenty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8489161 16978322 25467483 33956644 50934966 76402449 101869932 110359093 152804898 220718186 305609796 331077279 441436372 662154558 993231837 1324309116 1986463674 3972927348