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2732048 = 241119243
BaseRepresentation
bin1010011011000000010000
312010210122222
422123000100
51144411143
6134320212
732136104
oct12330020
95123588
102732048
1115a66a0
12ab9068
137486c7
14511904
1538e768
hex29b010

2732048 has 60 divisors (see below), whose sum is σ = 6236208. Its totient is φ = 1149120.

The previous prime is 2732047. The next prime is 2732069. The reversal of 2732048 is 8402372.

It is not an unprimeable number, because it can be changed into a prime (2732047) 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 11 ways as a sum of consecutive naturals, for example, 63515 + ... + 63557.

22732048 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 2732048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3118104).

2732048 is an abundant number, since it is smaller than the sum of its proper divisors (3504160).

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

2732048 is a wasteful number, since it uses less digits than its factorization.

2732048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 2732048 is about 1652.8908009908. The cubic root of 2732048 is about 139.7964388578.

The spelling of 2732048 in words is "two million, seven hundred thirty-two thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 43 44 76 86 88 152 172 176 209 304 344 361 418 473 688 722 817 836 946 1444 1634 1672 1892 2888 3268 3344 3784 3971 5776 6536 7568 7942 8987 13072 15523 15884 17974 31046 31768 35948 62092 63536 71896 124184 143792 170753 248368 341506 683012 1366024 2732048