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2252928 = 2735867
BaseRepresentation
bin1000100110000010000000
311020110102210
420212002000
51034043203
6120142120
725102206
oct10460200
94213383
102252928
1112a9727
12907940
1360b5c2
14429076
152e7803
hex226080

2252928 has 32 divisors (see below), whose sum is σ = 5985360. Its totient is φ = 750848.

The previous prime is 2252927. The next prime is 2252933. The reversal of 2252928 is 8292522.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 2 + 212 + 59 + 215 + 93 + 218 + 82 .

It is a junction number, because it is equal to n+sod(n) for n = 2252895 and 2252904.

It is not an unprimeable number, because it can be changed into a prime (2252927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2550 + ... + 3317.

22252928 is an apocalyptic number.

It is an amenable number.

2252928 is an abundant number, since it is smaller than the sum of its proper divisors (3732432).

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

2252928 is an equidigital number, since it uses as much as digits as its factorization.

2252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5884 (or 5872 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

The square root of 2252928 is about 1500.9756826811. The cubic root of 2252928 is about 131.0938860408.

The spelling of 2252928 in words is "two million, two hundred fifty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5867 11734 17601 23468 35202 46936 70404 93872 140808 187744 281616 375488 563232 750976 1126464 2252928