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3976054848 = 263217339901
BaseRepresentation
bin1110110011111101…
…1100100001000000
3101021002122111212200
43230333130201000
531120332223343
61454312353200
7200346623433
oct35477344100
911232574780
103976054848
111760419947
1292b6a5800
134b498969c
1429a0bd81a
151840e54d3
hexecfdc840

3976054848 has 84 divisors (see below), whose sum is σ = 11462807148. Its totient is φ = 1317657600.

The previous prime is 3976054811. The next prime is 3976054853. The reversal of 3976054848 is 8484506793.

3976054848 is a `hidden beast` number, since 3 + 97 + 6 + 0 + 548 + 4 + 8 = 666.

3976054848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1790305344 + 2185749504 = 42312^2 + 46752^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3976054794 and 3976054803.

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, 79698 + ... + 119598.

Almost surely, 23976054848 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 3976054848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5731403574).

3976054848 is an abundant number, since it is smaller than the sum of its proper divisors (7486752300).

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

3976054848 is a wasteful number, since it uses less digits than its factorization.

3976054848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40092 (or 40079 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3976054848 is about 63055.9659984684. The cubic root of 3976054848 is about 1584.2271636251.

The spelling of 3976054848 in words is "three billion, nine hundred seventy-six million, fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 11072 12456 16608 24912 33216 39901 49824 79802 99648 119703 159604 239406 319208 359109 478812 638416 718218 957624 1276832 1436436 1915248 2553664 2872872 3830496 5745744 6902873 7660992 11491488 13805746 20708619 22982976 27611492 41417238 55222984 62125857 82834476 110445968 124251714 165668952 220891936 248503428 331337904 441783872 497006856 662675808 994013712 1325351616 1988027424 3976054848