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5500000584 = 2332136196329
BaseRepresentation
bin1010001111101001…
…10101100101001000
3112012022012222102100
411013310311211020
542231000004314
62305432033400
7253203143061
oct50764654510
915168188370
105500000584
112372674931
121095b32860
13698614020
143a2657568
15222cbec09
hex147d35948

5500000584 has 96 divisors (see below), whose sum is σ = 16304815800. Its totient is φ = 1664547840.

The previous prime is 5500000559. The next prime is 5500000651. The reversal of 5500000584 is 4850000055.

It can be written as a sum of positive squares in 4 ways, for example, as 1781684100 + 3718316484 = 42210^2 + 60978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8932 + ... + 105260.

Almost surely, 25500000584 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5500000584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8152407900).

5500000584 is an abundant number, since it is smaller than the sum of its proper divisors (10804815216).

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

5500000584 is a wasteful number, since it uses less digits than its factorization.

5500000584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96415 (or 96408 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The square root of 5500000584 is about 74161.9888082837. The cubic root of 5500000584 is about 1765.1742301395.

The spelling of 5500000584 in words is "five billion, five hundred million, five hundred eighty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 61 72 78 104 117 122 156 183 234 244 312 366 468 488 549 732 793 936 1098 1464 1586 2196 2379 3172 4392 4758 6344 7137 9516 14274 19032 28548 57096 96329 192658 288987 385316 577974 770632 866961 1155948 1252277 1733922 2311896 2504554 3467844 3756831 5009108 5876069 6935688 7513662 10018216 11270493 11752138 15027324 17628207 22540986 23504276 30054648 35256414 45081972 47008552 52884621 70512828 76388897 90163944 105769242 141025656 152777794 211538484 229166691 305555588 423076968 458333382 611111176 687500073 916666764 1375000146 1833333528 2750000292 5500000584