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1981230592 = 29111720693
BaseRepresentation
bin111011000010111…
…0010111000000000
312010002000221102211
41312011302320000
513024143334332
6524332351504
7100045116325
oct16605627000
95102027384
101981230592
11927397960
12473615594
132576050c3
1414b1b0b4c
15b8e06447
hex76172e00

1981230592 has 80 divisors (see below), whose sum is σ = 4572711792. Its totient is φ = 847544320.

The previous prime is 1981230551. The next prime is 1981230623. The reversal of 1981230592 is 2950321891.

It is a super-3 number, since 3×19812305923 (a number of 29 digits) contains 333 as substring.

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 7 ways as a sum of consecutive naturals, for example, 85398 + ... + 106090.

Almost surely, 21981230592 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 1981230592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286355896).

1981230592 is an abundant number, since it is smaller than the sum of its proper divisors (2591481200).

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

1981230592 is a wasteful number, since it uses less digits than its factorization.

1981230592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20739 (or 20723 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 1981230592 is about 44511.0165240022. The cubic root of 1981230592 is about 1255.9673271012.

The spelling of 1981230592 in words is "one billion, nine hundred eighty-one million, two hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 128 136 176 187 256 272 352 374 512 544 704 748 1088 1408 1496 2176 2816 2992 4352 5632 5984 8704 11968 20693 23936 41386 47872 82772 95744 165544 227623 331088 351781 455246 662176 703562 910492 1324352 1407124 1820984 2648704 2814248 3641968 3869591 5297408 5628496 7283936 7739182 10594816 11256992 14567872 15478364 22513984 29135744 30956728 45027968 58271488 61913456 90055936 116542976 123826912 180111872 247653824 495307648 990615296 1981230592