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2613248 = 2131129
BaseRepresentation
bin1001111110000000000000
311220202200222
421332000000
51132110443
6132002212
731132541
oct11760000
94822628
102613248
111525410
12a60368
13706601
144c04c8
15369468
hex27e000

2613248 has 56 divisors (see below), whose sum is σ = 5897880. Its totient is φ = 1146880.

The previous prime is 2613229. The next prime is 2613313. The reversal of 2613248 is 8423162.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 90098 + ... + 90126.

22613248 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 2613248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2948940).

2613248 is an abundant number, since it is smaller than the sum of its proper divisors (3284632).

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

2613248 is an equidigital number, since it uses as much as digits as its factorization.

2613248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 42 counting only the distinct ones).

The product of its digits is 2304, while the sum is 26.

The square root of 2613248 is about 1616.5543603603. The cubic root of 2613248 is about 137.7400413089.

The spelling of 2613248 in words is "two million, six hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 128 176 232 256 319 352 464 512 638 704 928 1024 1276 1408 1856 2048 2552 2816 3712 4096 5104 5632 7424 8192 10208 11264 14848 20416 22528 29696 40832 45056 59392 81664 90112 118784 163328 237568 326656 653312 1306624 2613248