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2249352 = 233274463
BaseRepresentation
bin1000100101001010001000
311020021112100
420211022020
51033434402
6120113400
725055610
oct10451210
94207470
102249352
1112a6a76
12905860
13609aa1
14427a40
152e671c
hex225288

2249352 has 48 divisors (see below), whose sum is σ = 6963840. Its totient is φ = 642528.

The previous prime is 2249311. The next prime is 2249363. The reversal of 2249352 is 2539422.

It is an unprimeable number.

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, 1728 + ... + 2735.

It is an arithmetic number, because the mean of its divisors is an integer number (145080).

22249352 is an apocalyptic number.

It is an amenable number.

2249352 is an abundant number, since it is smaller than the sum of its proper divisors (4714488).

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

2249352 is a wasteful number, since it uses less digits than its factorization.

2249352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4475 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 2249352 is about 1499.7839844458. The cubic root of 2249352 is about 131.0244889439.

It can be divided in two parts, 2249 and 352, that added together give a square (2601 = 512).

The spelling of 2249352 in words is "two million, two hundred forty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 4463 8926 13389 17852 26778 31241 35704 40167 53556 62482 80334 93723 107112 124964 160668 187446 249928 281169 321336 374892 562338 749784 1124676 2249352