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3975027984 = 243253520837
BaseRepresentation
bin1110110011101110…
…0001110100010000
3101021000201100021200
43230323201310100
531120101343414
61454234351200
7200335115604
oct35473416420
911230640250
103975027984
11175a8883a4
1292b28b500
134b46ba185
14299cd3504
15183e91109
hexecee1d10

3975027984 has 60 divisors (see below), whose sum is σ = 11334476556. Its totient is φ = 1300006656.

The previous prime is 3975027977. The next prime is 3975027997. The reversal of 3975027984 is 4897205793.

3975027984 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 1312467984 + 2662560000 = 36228^2 + 51600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3975027984.

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, 252787 + ... + 268050.

Almost surely, 23975027984 is an apocalyptic number.

It is an amenable number.

3975027984 is an abundant number, since it is smaller than the sum of its proper divisors (7359448572).

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

3975027984 is a wasteful number, since it uses less digits than its factorization.

3975027984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520904 (or 520895 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 3975027984 is about 63047.8229917576. The cubic root of 3975027984 is about 1584.0907699744.

The spelling of 3975027984 in words is "three billion, nine hundred seventy-five million, twenty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1908 2544 3816 7632 520837 1041674 1562511 2083348 3125022 4166696 4687533 6250044 8333392 9375066 12500088 18750132 25000176 27604361 37500264 55208722 75000528 82813083 110417444 165626166 220834888 248439249 331252332 441669776 496878498 662504664 993756996 1325009328 1987513992 3975027984