Search a number
-
+
2688049152 = 213344051
BaseRepresentation
bin1010000000111000…
…0110000000000000
320221100001001020000
42200032012000000
521001120033102
61122422120000
7123420016665
oct24016060000
96840031200
102688049152
11115a374128
12630280000
1333ab90c39
141b7001a6c
1510aec401c
hexa0386000

2688049152 has 140 divisors (see below), whose sum is σ = 8032453836. Its totient is φ = 895795200.

The previous prime is 2688049141. The next prime is 2688049157. The reversal of 2688049152 is 2519408862.

It is a junction number, because it is equal to n+sod(n) for n = 2688049098 and 2688049107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2688049157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 661527 + ... + 665577.

Almost surely, 22688049152 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 2688049152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016226918).

2688049152 is an abundant number, since it is smaller than the sum of its proper divisors (5344404684).

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

2688049152 is an frugal number, since it uses more digits than its factorization.

2688049152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4089 (or 4056 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 2688049152 is about 51846.3996049870. The cubic root of 2688049152 is about 1390.4191327869.

The spelling of 2688049152 in words is "two billion, six hundred eighty-eight million, forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4051 4096 4608 5184 6144 6912 8102 8192 9216 10368 12153 12288 13824 16204 18432 20736 24306 24576 27648 32408 36459 36864 41472 48612 55296 64816 72918 73728 82944 97224 109377 110592 129632 145836 165888 194448 218754 221184 259264 291672 328131 331776 388896 437508 518528 583344 656262 663552 777792 875016 1037056 1166688 1312524 1555584 1750032 2074112 2333376 2625048 3111168 3500064 4148224 4666752 5250096 6222336 7000128 8296448 9333504 10500192 12444672 14000256 16592896 18667008 21000384 24889344 28000512 33185792 37334016 42000768 49778688 56001024 74668032 84001536 99557376 112002048 149336064 168003072 224004096 298672128 336006144 448008192 672012288 896016384 1344024576 2688049152