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2722048 = 287331
BaseRepresentation
bin1010011000100100000000
312010021221121
422120210000
51144101143
6134202024
732065000
oct12304400
95107847
102722048
11159a12a
12ab3314
13743ca4
1450c000
1538b7ed
hex298900

2722048 has 72 divisors (see below), whose sum is σ = 6540800. Its totient is φ = 1128960.

The previous prime is 2722043. The next prime is 2722061. The reversal of 2722048 is 8402272.

It is not an unprimeable number, because it can be changed into a prime (2722043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87793 + ... + 87823.

22722048 is an apocalyptic number.

2722048 is a gapful number since it is divisible by the number (28) 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 2722048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3270400).

2722048 is an abundant number, since it is smaller than the sum of its proper divisors (3818752).

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

2722048 is an frugal number, since it uses more digits than its factorization.

2722048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 2722048 is about 1649.8630246175. The cubic root of 2722048 is about 139.6256666627.

The spelling of 2722048 in words is "two million, seven hundred twenty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 64 98 112 124 128 196 217 224 248 256 343 392 434 448 496 686 784 868 896 992 1372 1519 1568 1736 1792 1984 2744 3038 3136 3472 3968 5488 6076 6272 6944 7936 10633 10976 12152 12544 13888 21266 21952 24304 27776 42532 43904 48608 55552 85064 87808 97216 170128 194432 340256 388864 680512 1361024 2722048