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1997805888 = 263213266801
BaseRepresentation
bin111011100010100…
…0001100101000000
312011020020001110200
41313011001211000
513042414242023
6530123525200
7100336032651
oct16705014500
95136201420
101997805888
11935789151
12479089800
1325ab89780
1414d487528
15ba5cc743
hex77141940

1997805888 has 84 divisors (see below), whose sum is σ = 6166861428. Its totient is φ = 614707200.

The previous prime is 1997805883. The next prime is 1997805907. The reversal of 1997805888 is 8885087991.

It can be written as a sum of positive squares in 2 ways, for example, as 267911424 + 1729894464 = 16368^2 + 41592^2 .

It is a super-2 number, since 2×19978058882 = 7982456732254937088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1997805883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 125913 + ... + 140888.

It is an arithmetic number, because the mean of its divisors is an integer number (73415017).

Almost surely, 21997805888 is an apocalyptic number.

1997805888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1997805888 is an abundant number, since it is smaller than the sum of its proper divisors (4169055540).

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

1997805888 is a wasteful number, since it uses less digits than its factorization.

1997805888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266832 (or 266819 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 63.

The square root of 1997805888 is about 44696.8219004439. The cubic root of 1997805888 is about 1259.4601466591.

It can be divided in two parts, 199 and 7805888, that added together give a palindrome (7806087).

The spelling of 1997805888 in words is "one billion, nine hundred ninety-seven million, eight hundred five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 266801 533602 800403 1067204 1600806 2134408 2401209 3201612 3468413 4268816 4802418 6403224 6936826 8537632 9604836 10405239 12806448 13873652 17075264 19209672 20810478 25612896 27747304 31215717 38419344 41620956 51225792 55494608 62431434 76838688 83241912 110989216 124862868 153677376 166483824 221978432 249725736 332967648 499451472 665935296 998902944 1997805888