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1893076992 = 2123289577
BaseRepresentation
bin111000011010110…
…0001000000000000
311212221011021102200
41300311201000000
512334111430432
6511503113200
764624613622
oct16065410000
94787137380
101893076992
11891657844
12449ba2800
1324227b701
1413d5c4c12
15b12e1a7c
hex70d61000

1893076992 has 156 divisors (see below), whose sum is σ = 5539245660. Its totient is φ = 622854144.

The previous prime is 1893076981. The next prime is 1893077023. The reversal of 1893076992 is 2996703981.

It can be written as a sum of positive squares in 2 ways, for example, as 1289097216 + 603979776 = 35904^2 + 24576^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3280608 + ... + 3281184.

It is an arithmetic number, because the mean of its divisors is an integer number (35507985).

Almost surely, 21893076992 is an apocalyptic number.

1893076992 is a gapful number since it is divisible by the number (12) 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 1893076992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769622830).

1893076992 is an abundant number, since it is smaller than the sum of its proper divisors (3646168668).

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

1893076992 is an equidigital number, since it uses as much as digits as its factorization.

1893076992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The square root of 1893076992 is about 43509.5046168076. The cubic root of 1893076992 is about 1237.0561871018.

The spelling of 1893076992 in words is "one billion, eight hundred ninety-three million, seventy-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 128 144 178 192 256 267 288 356 384 512 534 576 577 712 768 801 1024 1068 1152 1154 1424 1536 1602 1731 2048 2136 2304 2308 2848 3072 3204 3462 4096 4272 4608 4616 5193 5696 6144 6408 6924 8544 9216 9232 10386 11392 12288 12816 13848 17088 18432 18464 20772 22784 25632 27696 34176 36864 36928 41544 45568 51264 51353 55392 68352 73856 83088 91136 102528 102706 110784 136704 147712 154059 166176 182272 205056 205412 221568 273408 295424 308118 332352 364544 410112 410824 443136 462177 546816 590848 616236 664704 820224 821648 886272 924354 1093632 1181696 1232472 1329408 1640448 1643296 1772544 1848708 2363392 2464944 2658816 3280896 3286592 3545088 3697416 4929888 5317632 6573184 7090176 7394832 9859776 10635264 13146368 14789664 19719552 21270528 26292736 29579328 39439104 52585472 59158656 78878208 105170944 118317312 157756416 210341888 236634624 315512832 473269248 631025664 946538496 1893076992