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1982143488 = 21031349633
BaseRepresentation
bin111011000100101…
…0001110000000000
312010010202022200210
41312021101300000
513024412042423
6524404114120
7100055640663
oct16611216000
95103668623
101982143488
11927960816
12473995940
13257864790
1414b36b6da
15b9036b93
hex76251c00

1982143488 has 88 divisors (see below), whose sum is σ = 5689644688. Its totient is φ = 609878016.

The previous prime is 1982143487. The next prime is 1982143507. The reversal of 1982143488 is 8843412891.

It is a happy number.

It is a super-2 number, since 2×19821434882 = 7857785614041612288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1982143481) by changing a digit.

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, 15120 + ... + 64752.

Almost surely, 21982143488 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 1982143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844822344).

1982143488 is an abundant number, since it is smaller than the sum of its proper divisors (3707501200).

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

1982143488 is a wasteful number, since it uses less digits than its factorization.

1982143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49669 (or 49651 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 1982143488 is about 44521.2700627464. The cubic root of 1982143488 is about 1256.1602024277.

The spelling of 1982143488 in words is "one billion, nine hundred eighty-two million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2496 3072 3328 4992 6656 9984 13312 19968 39936 49633 99266 148899 198532 297798 397064 595596 645229 794128 1191192 1290458 1588256 1935687 2382384 2580916 3176512 3871374 4764768 5161832 6353024 7742748 9529536 10323664 12706048 15485496 19059072 20647328 25412096 30970992 38118144 41294656 50824192 61941984 76236288 82589312 123883968 152472576 165178624 247767936 330357248 495535872 660714496 991071744 1982143488