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4931971984 = 249721812
BaseRepresentation
bin1001001011111011…
…11110101110010000
3110201201101010200001
410211331332232100
540100041100414
62133221135344
7233135033032
oct44575765620
913651333601
104931971984
112100a73605
12b5785a554
13607a30824
1434b033c52
151dceba074
hex125f7eb90

4931971984 has 45 divisors (see below), whose sum is σ = 9708862131. Its totient is φ = 2427079680.

The previous prime is 4931971963. The next prime is 4931971999. The reversal of 4931971984 is 4891791394.

The square root of 4931971984 is 70228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2199610000 + 2732361984 = 46900^2 + 52272^2 .

It is a Duffinian 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 8 ways as a sum of consecutive naturals, for example, 27248374 + ... + 27248554.

Almost surely, 24931971984 is an apocalyptic number.

4931971984 is the 70228-th square number.

It is an amenable number.

4931971984 is a deficient number, since it is larger than the sum of its proper divisors (4776890147).

4931971984 is an frugal number, since it uses more digits than its factorization.

4931971984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 280 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 55.

The cubic root of 4931971984 is about 1702.1854227902.

The spelling of 4931971984 in words is "four billion, nine hundred thirty-one million, nine hundred seventy-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 97 181 194 362 388 724 776 1448 1552 2896 9409 17557 18818 32761 35114 37636 65522 70228 75272 131044 140456 150544 262088 280912 524176 1703029 3177817 3406058 6355634 6812116 12711268 13624232 25422536 27248464 50845072 308248249 616496498 1232992996 2465985992 4931971984