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3997658484 = 2232857312953
BaseRepresentation
bin1110111001000111…
…0110110101110100
3101022121022002111100
43232101312311310
531141400032414
61500403410100
7201031352001
oct35621666564
911277262440
103997658484
111771634a96
12936983930
134b92b19c1
1429cd048a8
15185e61609
hexee476d74

3997658484 has 36 divisors (see below), whose sum is σ = 10107151236. Its totient is φ = 1332294528.

The previous prime is 3997658471. The next prime is 3997658521. The reversal of 3997658484 is 4848567993.

3997658484 is a `hidden beast` number, since 3 + 9 + 97 + 65 + 8 + 484 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 782768484 + 3214890000 = 27978^2 + 56700^2 .

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 302152 + ... + 315104.

It is an arithmetic number, because the mean of its divisors is an integer number (280754201).

Almost surely, 23997658484 is an apocalyptic number.

It is an amenable number.

3997658484 is an abundant number, since it is smaller than the sum of its proper divisors (6109492752).

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

3997658484 is a wasteful number, since it uses less digits than its factorization.

3997658484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21536 (or 21531 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The square root of 3997658484 is about 63227.0391841971. The cubic root of 3997658484 is about 1587.0912477626.

The spelling of 3997658484 in words is "three billion, nine hundred ninety-seven million, six hundred fifty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 8573 12953 17146 25719 25906 34292 38859 51438 51812 77157 77718 102876 116577 154314 155436 233154 308628 466308 111046069 222092138 333138207 444184276 666276414 999414621 1332552828 1998829242 3997658484