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2248752 = 243114259
BaseRepresentation
bin1000100101000000110000
311020020201010
420211000300
51033430002
6120110520
725054062
oct10450060
94206633
102248752
1112a6580
12905440
1360972c
14427732
152e646c
hex225030

2248752 has 40 divisors (see below), whose sum is σ = 6338880. Its totient is φ = 681280.

The previous prime is 2248739. The next prime is 2248759. The reversal of 2248752 is 2578422.

It is a d-powerful number, because it can be written as 214 + 217 + 42 + 84 + 7 + 52 + 221 .

It is not an unprimeable number, because it can be changed into a prime (2248759) 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, 1602 + ... + 2657.

It is an arithmetic number, because the mean of its divisors is an integer number (158472).

22248752 is an apocalyptic number.

2248752 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2248752 is an abundant number, since it is smaller than the sum of its proper divisors (4090128).

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

2248752 is a wasteful number, since it uses less digits than its factorization.

2248752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4275 counting only the distinct ones).

The product of its digits is 8960, while the sum is 30.

The square root of 2248752 is about 1499.5839422987. The cubic root of 2248752 is about 131.0128379315.

The spelling of 2248752 in words is "two million, two hundred forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 4259 8518 12777 17036 25554 34072 46849 51108 68144 93698 102216 140547 187396 204432 281094 374792 562188 749584 1124376 2248752