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2553904 = 241931271
BaseRepresentation
bin1001101111100000110000
311210202022001
421233200300
51123211104
6130423344
730464533
oct11574060
94722261
102553904
111494871
12a31b54
136b55b2
144a6a1a
15356aa4
hex26f830

2553904 has 40 divisors (see below), whose sum is σ = 5396480. Its totient is φ = 1166400.

The previous prime is 2553871. The next prime is 2553907. The reversal of 2553904 is 4093552.

It is not an unprimeable number, because it can be changed into a prime (2553907) 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, 9289 + ... + 9559.

It is an arithmetic number, because the mean of its divisors is an integer number (134912).

22553904 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 2553904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698240).

2553904 is an abundant number, since it is smaller than the sum of its proper divisors (2842576).

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

2553904 is a wasteful number, since it uses less digits than its factorization.

2553904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 2553904 is about 1598.0938645774. The cubic root of 2553904 is about 136.6894059592.

The spelling of 2553904 in words is "two million, five hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 248 271 304 496 542 589 1084 1178 2168 2356 4336 4712 5149 8401 9424 10298 16802 20596 33604 41192 67208 82384 134416 159619 319238 638476 1276952 2553904