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2033248 = 25729313
BaseRepresentation
bin111110000011001100000
310211022002111
413300121200
51010030443
6111325104
723165560
oct7603140
93738074
102033248
111169678
12820794
13562609
143acda0
152a269d
hex1f0660

2033248 has 48 divisors (see below), whose sum is σ = 4747680. Its totient is φ = 838656.

The previous prime is 2033243. The next prime is 2033257. The reversal of 2033248 is 8423302.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2033243) 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, 6340 + ... + 6652.

It is an arithmetic number, because the mean of its divisors is an integer number (98910).

22033248 is an apocalyptic number.

2033248 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2033248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373840).

2033248 is an abundant number, since it is smaller than the sum of its proper divisors (2714432).

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

2033248 is a wasteful number, since it uses less digits than its factorization.

2033248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2033248 is about 1425.9200538600. The cubic root of 2033248 is about 126.6864358187.

It can be divided in two parts, 203 and 3248, that multiplied together give a square (659344 = 8122).

The spelling of 2033248 in words is "two million, thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 313 406 464 626 812 928 1252 1624 2191 2504 3248 4382 5008 6496 8764 9077 10016 17528 18154 35056 36308 63539 70112 72616 127078 145232 254156 290464 508312 1016624 2033248