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42986558224 = 2417230492
BaseRepresentation
bin101000000010001100…
…101101001100010000
311002221210210102012001
4220002030231030100
51201014024330344
631425303043344
73051150500431
oct500214551420
9132853712161
1042986558224
1117259878485
1283b8140554
134090a3b78c
14211b0b5488
1511b8cc2ed4
hexa0232d310

42986558224 has 45 divisors (see below), whose sum is σ = 88502875167. Its totient is φ = 20222333952.

The previous prime is 42986558201. The next prime is 42986558231. The reversal of 42986558224 is 42285568924.

The square root of 42986558224 is 207332.

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 1030410000 + 41956148224 = 32100^2 + 204832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14097052 + ... + 14100100.

Almost surely, 242986558224 is an apocalyptic number.

42986558224 is the 207332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42986558224

42986558224 is an abundant number, since it is smaller than the sum of its proper divisors (45516316943).

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

42986558224 is an frugal number, since it uses more digits than its factorization.

42986558224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140 (or 3068 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 55.

The spelling of 42986558224 in words is "forty-two billion, nine hundred eighty-six million, five hundred fifty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 2312 3049 4624 6098 12196 24392 48784 51833 103666 207332 414664 829328 881161 1762322 3524644 7049288 9296401 14098576 18592802 37185604 74371208 148742416 158038817 316077634 632155268 1264310536 2528621072 2686659889 5373319778 10746639556 21493279112 42986558224