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2148832256 = 210292692
BaseRepresentation
bin1000000000010100…
…1001010000000000
312112202101222200212
42000011021100000
513400100113011
6553120533252
7104151526034
oct20005112000
95482358625
102148832256
11a02a6152a
124bb781228
1328325789c
1416555c1c4
15c89b108b
hex80149400

2148832256 has 66 divisors (see below), whose sum is σ = 4460269710. Its totient is φ = 1033510912.

The previous prime is 2148832219. The next prime is 2148832261. The reversal of 2148832256 is 6522388412.

It can be written as a sum of positive squares in 3 ways, for example, as 31360000 + 2117472256 = 5600^2 + 46016^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7988090 + ... + 7988358.

Almost surely, 22148832256 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 2148832256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230134855).

2148832256 is an abundant number, since it is smaller than the sum of its proper divisors (2311437454).

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

2148832256 is an frugal number, since it uses more digits than its factorization.

2148832256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 300 counting only the distinct ones).

The product of its digits is 184320, while the sum is 41.

The square root of 2148832256 is about 46355.4986598138. The cubic root of 2148832256 is about 1290.4291695449.

The spelling of 2148832256 in words is "two billion, one hundred forty-eight million, eight hundred thirty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 269 464 512 538 928 1024 1076 1856 2152 3712 4304 7424 7801 8608 14848 15602 17216 29696 31204 34432 62408 68864 72361 124816 137728 144722 249632 275456 289444 499264 578888 998528 1157776 1997056 2098469 2315552 3994112 4196938 4631104 7988224 8393876 9262208 16787752 18524416 33575504 37048832 67151008 74097664 134302016 268604032 537208064 1074416128 2148832256