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1989211392 = 2833741113
BaseRepresentation
bin111011010010000…
…1111010100000000
312010122001102001000
41312210033110000
513033214231032
6525215412000
7100203006060
oct16644172400
95118042030
101989211392
11930948a63
12476224000
1325916a87c
1414c28b3a0
15b9980e7c
hex7690f500

1989211392 has 144 divisors (see below), whose sum is σ = 6722961280. Its totient is φ = 568332288.

The previous prime is 1989211387. The next prime is 1989211421. The reversal of 1989211392 is 2931129891.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27828 + ... + 68940.

Almost surely, 21989211392 is an apocalyptic number.

1989211392 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 1989211392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361480640).

1989211392 is an abundant number, since it is smaller than the sum of its proper divisors (4733749888).

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

1989211392 is an equidigital number, since it uses as much as digits as its factorization.

1989211392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41145 (or 41125 counting only the distinct ones).

The product of its digits is 69984, while the sum is 45.

The square root of 1989211392 is about 44600.5761397765. The cubic root of 1989211392 is about 1257.6514983864.

The spelling of 1989211392 in words is "one billion, nine hundred eighty-nine million, two hundred eleven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 576 672 756 768 864 896 1008 1152 1344 1512 1728 1792 2016 2304 2688 3024 3456 4032 5376 6048 6912 8064 12096 16128 24192 41113 48384 82226 123339 164452 246678 287791 328904 370017 493356 575582 657808 740034 863373 986712 1110051 1151164 1315616 1480068 1726746 1973424 2220102 2302328 2590119 2631232 2960136 3453492 3946848 4440204 4604656 5180238 5262464 5920272 6906984 7770357 7893696 8880408 9209312 10360476 10524928 11840544 13813968 15540714 15787392 17760816 18418624 20720952 23681088 27627936 31081428 31574784 35521632 36837248 41441904 47362176 55255872 62162856 71043264 73674496 82883808 94724352 110511744 124325712 142086528 165767616 221023488 248651424 284173056 331535232 497302848 663070464 994605696 1989211392