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1987949808 = 2432131762467
BaseRepresentation
bin111011001111101…
…1011010011110000
312010112200022110200
41312133123103300
513032403343213
6525132355200
7100156203015
oct16637332360
95115608420
101987949808
11930167129
12475915b00
13258b18580
1414c03d70c
15b97d2273
hex767db4f0

1987949808 has 120 divisors (see below), whose sum is σ = 6344000208. Its totient is φ = 575686656.

The previous prime is 1987949807. The next prime is 1987949833. The reversal of 1987949808 is 8089497891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1987949807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 591 + ... + 63057.

Almost surely, 21987949808 is an apocalyptic number.

1987949808 is a gapful number since it is divisible by the number (18) 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 1987949808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172000104).

1987949808 is an abundant number, since it is smaller than the sum of its proper divisors (4356050400).

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

1987949808 is a wasteful number, since it uses less digits than its factorization.

1987949808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62511 (or 62502 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The square root of 1987949808 is about 44586.4307609389. The cubic root of 1987949808 is about 1257.3855691253.

The spelling of 1987949808 in words is "one billion, nine hundred eighty-seven million, nine hundred forty-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1768 1872 1989 2448 2652 3536 3978 5304 7956 10608 15912 31824 62467 124934 187401 249868 374802 499736 562203 749604 812071 999472 1061939 1124406 1499208 1624142 2123878 2248812 2436213 2998416 3185817 3248284 4247756 4497624 4872426 6371634 6496568 7308639 8495512 8995248 9557451 9744852 12743268 12993136 13805207 14617278 16991024 19114902 19489704 25486536 27610414 29234556 38229804 38979408 41415621 50973072 55220828 58469112 76459608 82831242 110441656 116938224 124246863 152919216 165662484 220883312 248493726 331324968 496987452 662649936 993974904 1987949808