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3984909075 = 335272211571
BaseRepresentation
bin1110110110000100…
…1110001100010011
3101021201022100121000
43231201032030103
531130114042300
61455230233043
7200515111500
oct35541161423
911251270530
103984909075
111765417194
12932655783
134b6769884
1429b3464a7
15184c93c00
hexed84e313

3984909075 has 144 divisors (see below), whose sum is σ = 8570939520. Its totient is φ = 1809864000.

The previous prime is 3984909059. The next prime is 3984909079. The reversal of 3984909075 is 5709094893.

3984909075 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3984909075 - 24 = 3984909059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3984909079) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6978540 + ... + 6979110.

Almost surely, 23984909075 is an apocalyptic number.

3984909075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3984909075 is an abundant number, since it is smaller than the sum of its proper divisors (4586030445).

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

3984909075 is a wasteful number, since it uses less digits than its factorization.

3984909075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 3984909075 is about 63126.1362273979. The cubic root of 3984909075 is about 1585.4022570331.

The spelling of 3984909075 in words is "three billion, nine hundred eighty-four million, nine hundred nine thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 211 225 245 315 441 525 571 633 675 735 945 1055 1225 1323 1477 1575 1713 1899 2205 2855 3165 3675 3997 4431 4725 5139 5275 5697 6615 7385 8565 9495 10339 11025 11991 13293 14275 15417 15825 19985 22155 25695 27979 28485 31017 33075 35973 36925 39879 42825 47475 51695 59955 66465 77085 83937 93051 99925 107919 110775 120481 128475 139895 142425 155085 179865 199395 251811 258475 279153 299775 332325 361443 385425 419685 465255 539595 602405 699475 755433 775425 843367 899325 996975 1084329 1259055 1395765 1807215 2098425 2326275 2530101 2697975 3012025 3252987 3777165 4216835 5421645 5903569 6295275 6978825 7590303 9036075 12650505 16264935 17710707 18885825 21084175 22770909 27108225 29517845 37951515 53132121 63252525 81324675 88553535 113854545 147589225 159396363 189757575 265660605 442767675 569272725 796981815 1328303025 3984909075