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8985395840 = 27529347917
BaseRepresentation
bin10000101111001001…
…00100001010000000
3212012012121101212112
420113210210022000
5121400230131330
64043340114452
7435444414221
oct102744441200
925165541775
108985395840
1138a1026983
1218a9235a28
13b02738b95
146134d3248
15378c94795
hex217924280

8985395840 has 64 divisors (see below), whose sum is σ = 21554474760. Its totient is φ = 3581816832.

The previous prime is 8985395827. The next prime is 8985395891. The reversal of 8985395840 is 485935898.

It can be written as a sum of positive squares in 4 ways, for example, as 7566216256 + 1419179584 = 86984^2 + 37672^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 8985395840.

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 7 ways as a sum of consecutive naturals, for example, 163562 + ... + 211478.

Almost surely, 28985395840 is an apocalyptic number.

8985395840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8985395840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10777237380).

8985395840 is an abundant number, since it is smaller than the sum of its proper divisors (12569078920).

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

8985395840 is a wasteful number, since it uses less digits than its factorization.

8985395840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48229 (or 48217 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 59.

The square root of 8985395840 is about 94791.3278733872. The cubic root of 8985395840 is about 2078.9581073841.

The spelling of 8985395840 in words is "eight billion, nine hundred eighty-five million, three hundred ninety-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 293 320 586 640 1172 1465 2344 2930 4688 5860 9376 11720 18752 23440 37504 46880 47917 93760 95834 187520 191668 239585 383336 479170 766672 958340 1533344 1916680 3066688 3833360 6133376 7666720 14039681 15333440 28079362 30666880 56158724 70198405 112317448 140396810 224634896 280793620 449269792 561587240 898539584 1123174480 1797079168 2246348960 4492697920 8985395840