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2250752 = 2117157
BaseRepresentation
bin1000100101100000000000
311020100110012
420211200000
51034011002
6120124052
725062650
oct10454000
94210405
102250752
1112a8029
12906628
1360a60a
14428360
152e6d52
hex225800

2250752 has 48 divisors (see below), whose sum is σ = 5176080. Its totient is φ = 958464.

The previous prime is 2250713. The next prime is 2250761. The reversal of 2250752 is 2570522.

It is a congruent number.

It is an unprimeable number.

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, 14258 + ... + 14414.

It is an arithmetic number, because the mean of its divisors is an integer number (107835).

22250752 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 2250752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2588040).

2250752 is an abundant number, since it is smaller than the sum of its proper divisors (2925328).

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

2250752 is an equidigital number, since it uses as much as digits as its factorization.

2250752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 23.

The square root of 2250752 is about 1500.2506457256. The cubic root of 2250752 is about 131.0516665846.

The spelling of 2250752 in words is "two million, two hundred fifty thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 157 224 256 314 448 512 628 896 1024 1099 1256 1792 2048 2198 2512 3584 4396 5024 7168 8792 10048 14336 17584 20096 35168 40192 70336 80384 140672 160768 281344 321536 562688 1125376 2250752