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42015980484 = 223212722692
BaseRepresentation
bin100111001000010110…
…001111101111000100
311000110011110221211100
4213020112033233010
51142022042333414
631145112140100
73015123640632
oct471026175704
9130404427740
1042015980484
1116900a20015
128187097630
133c6793361a
142068226352
15115d9a4609
hex9c858fbc4

42015980484 has 81 divisors (see below), whose sum is σ = 107449357197. Its totient is φ = 13843394208.

The previous prime is 42015980441. The next prime is 42015980519. The reversal of 42015980484 is 48408951024.

The square root of 42015980484 is 204978.

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

42015980484 is a `hidden beast` number, since 42 + 0 + 1 + 59 + 80 + 484 = 666.

42015980484 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 only one way, i.e., 2764446084 + 39251534400 = 52578^2 + 198120^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 156193102 + ... + 156193370.

Almost surely, 242015980484 is an apocalyptic number.

42015980484 is the 204978-th square number.

It is an amenable number.

42015980484 is an abundant number, since it is smaller than the sum of its proper divisors (65433376713).

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

42015980484 is a wasteful number, since it uses less digits than its factorization.

42015980484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 42015980484 in words is "forty-two billion, fifteen million, nine hundred eighty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 269 381 508 538 762 807 1076 1143 1524 1614 2286 2421 3228 4572 4842 9684 16129 32258 34163 48387 64516 68326 72361 96774 102489 136652 144722 145161 193548 204978 217083 289444 290322 307467 409956 434166 580644 614934 651249 868332 1229868 1302498 2604996 4338701 8677402 9189847 13016103 17354804 18379694 26032206 27569541 36759388 39048309 52064412 55139082 78096618 82708623 110278164 156193236 165417246 330834492 1167110569 2334221138 3501331707 4668442276 7002663414 10503995121 14005326828 21007990242 42015980484