Search a number
-
+
3996973610 = 257246717467
BaseRepresentation
bin1110111000111100…
…1111101000101010
3101022120000022000122
43232033033220222
531141211123420
61500341003242
7201022500200
oct35617175052
911276008018
103996973610
111771207483
129366b3522
134b9102056
1429cba7070
15185d78725
hexee3cfa2a

3996973610 has 48 divisors (see below), whose sum is σ = 8387574624. Its totient is φ = 1367378208.

The previous prime is 3996973609. The next prime is 3996973663. The reversal of 3996973610 is 163796993.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 220097 + ... + 237563.

It is an arithmetic number, because the mean of its divisors is an integer number (174741138).

Almost surely, 23996973610 is an apocalyptic number.

3996973610 is an abundant number, since it is smaller than the sum of its proper divisors (4390601014).

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

3996973610 is a wasteful number, since it uses less digits than its factorization.

3996973610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17955 (or 17948 counting only the distinct ones).

The product of its (nonzero) digits is 1653372, while the sum is 53.

The square root of 3996973610 is about 63221.6229624011. The cubic root of 3996973610 is about 1587.0006097375. Note that the first 3 decimals are identical.

The spelling of 3996973610 in words is "three billion, nine hundred ninety-six million, nine hundred seventy-three thousand, six hundred ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 245 467 490 934 2335 3269 4670 6538 16345 17467 22883 32690 34934 45766 87335 114415 122269 174670 228830 244538 611345 855883 1222690 1711766 4279415 8157089 8558830 16314178 40785445 57099623 81570890 114199246 285498115 399697361 570996230 799394722 1998486805 3996973610