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2948416 = 26232003
BaseRepresentation
bin1011001111110101000000
312112210110121
423033311000
51223322131
6143110024
734026652
oct13176500
95483417
102948416
111734209
12ba2314
137c3033
1456a6d2
153d3911
hex2cfd40

2948416 has 28 divisors (see below), whose sum is σ = 6108192. Its totient is φ = 1409408.

The previous prime is 2948411. The next prime is 2948423. The reversal of 2948416 is 6148492.

2948416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 471 + ... + 2473.

22948416 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 2948416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3054096).

2948416 is an abundant number, since it is smaller than the sum of its proper divisors (3159776).

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

2948416 is a wasteful number, since it uses less digits than its factorization.

2948416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038 (or 2028 counting only the distinct ones).

The product of its digits is 13824, while the sum is 34.

The square root of 2948416 is about 1717.0952215879. The cubic root of 2948416 is about 143.3935399974.

It can be divided in two parts, 2948 and 416, that added together give a square (3364 = 582).

The spelling of 2948416 in words is "two million, nine hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 736 1472 2003 4006 8012 16024 32048 46069 64096 92138 128192 184276 368552 737104 1474208 2948416