Search a number
-
+
1998278208 = 26332634397
BaseRepresentation
bin111011100011011…
…0100111001000000
312011021010001101000
41313012310321000
513043024400313
6530142012000
7100343040663
oct16706647100
95137101330
101998278208
11935a80aa3
12479277000
1325acc3754
1414d56b6da
15ba672673
hex771b4e40

1998278208 has 112 divisors (see below), whose sum is σ = 5898245760. Its totient is φ = 663409152.

The previous prime is 1998278207. The next prime is 1998278221. The reversal of 1998278208 is 8028728991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1998278207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 452266 + ... + 456662.

Almost surely, 21998278208 is an apocalyptic number.

1998278208 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 1998278208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2949122880).

1998278208 is an abundant number, since it is smaller than the sum of its proper divisors (3899967552).

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

1998278208 is a wasteful number, since it uses less digits than its factorization.

1998278208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4665 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The square root of 1998278208 is about 44702.1051853266. The cubic root of 1998278208 is about 1259.5593924278.

The spelling of 1998278208 in words is "one billion, nine hundred ninety-eight million, two hundred seventy-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 263 288 432 526 576 789 864 1052 1578 1728 2104 2367 3156 4208 4397 4734 6312 7101 8416 8794 9468 12624 13191 14202 16832 17588 18936 25248 26382 28404 35176 37872 39573 50496 52764 56808 70352 75744 79146 105528 113616 118719 140704 151488 158292 211056 227232 237438 281408 316584 422112 454464 474876 633168 844224 949752 1156411 1266336 1899504 2312822 2532672 3469233 3799008 4625644 6938466 7598016 9251288 10407699 13876932 18502576 20815398 27753864 31223097 37005152 41630796 55507728 62446194 74010304 83261592 111015456 124892388 166523184 222030912 249784776 333046368 499569552 666092736 999139104 1998278208