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2128459248 = 24337367493
BaseRepresentation
bin111111011011101…
…1011010111110000
312111100001221012000
41332313123113300
513324341143443
6551112134000
7103513414356
oct17667332760
95440057160
102128459248
119a2506a33
124b4997300
1327bc73756
141629777d6
15c6cd98d3
hex7eddb5f0

2128459248 has 80 divisors (see below), whose sum is σ = 6193249440. Its totient is φ = 699757056.

The previous prime is 2128459247. The next prime is 2128459273. The reversal of 2128459248 is 8429548212.

2128459248 is a `hidden beast` number, since 2 + 12 + 8 + 4 + 592 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128459247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211 + ... + 65282.

It is an arithmetic number, because the mean of its divisors is an integer number (77415618).

Almost surely, 22128459248 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 2128459248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096624720).

2128459248 is an abundant number, since it is smaller than the sum of its proper divisors (4064790192).

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

2128459248 is a wasteful number, since it uses less digits than its factorization.

2128459248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67583 (or 67571 counting only the distinct ones).

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

The square root of 2128459248 is about 46135.2278416396. The cubic root of 2128459248 is about 1286.3380407059.

The spelling of 2128459248 in words is "two billion, one hundred twenty-eight million, four hundred fifty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 876 1168 1314 1752 1971 2628 3504 3942 5256 7884 10512 15768 31536 67493 134986 202479 269972 404958 539944 607437 809916 1079888 1214874 1619832 1822311 2429748 3239664 3644622 4859496 4926989 7289244 9718992 9853978 14578488 14780967 19707956 29156976 29561934 39415912 44342901 59123868 78831824 88685802 118247736 133028703 177371604 236495472 266057406 354743208 532114812 709486416 1064229624 2128459248