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5644817424 = 243420872
BaseRepresentation
bin1010100000111010…
…10001010000010000
3112120101201102210000
411100131101100100
543030033124144
62332044010000
7256612104441
oct52035212020
915511642700
105644817424
112437396974
121116530900
136bc61996c
143b79932c8
15230878769
hex150751410

5644817424 has 75 divisors (see below), whose sum is σ = 16345571407. Its totient is φ = 1880704224.

The previous prime is 5644817401. The next prime is 5644817443. The reversal of 5644817424 is 4247184465.

The square root of 5644817424 is 75132.

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

5644817424 is a `hidden beast` number, since 564 + 4 + 81 + 7 + 4 + 2 + 4 = 666.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5644817424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2703709 + ... + 2705795.

Almost surely, 25644817424 is an apocalyptic number.

5644817424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

5644817424 is the 75132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5644817424

5644817424 is an abundant number, since it is smaller than the sum of its proper divisors (10700753983).

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

5644817424 is an frugal number, since it uses more digits than its factorization.

5644817424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 2092 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The cubic root of 5644817424 is about 1780.5327513602.

The spelling of 5644817424 in words is "five billion, six hundred forty-four million, eight hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2087 4174 6261 8348 12522 16696 18783 25044 33392 37566 50088 56349 75132 100176 112698 150264 169047 225396 300528 338094 450792 676188 901584 1352376 2704752 4355569 8711138 13066707 17422276 26133414 34844552 39200121 52266828 69689104 78400242 104533656 117600363 156800484 209067312 235200726 313600968 352801089 470401452 627201936 705602178 940802904 1411204356 1881605808 2822408712 5644817424