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2938848 = 25311323
BaseRepresentation
bin1011001101011111100000
312112022100020
423031133200
51223020343
6142553440
733660033
oct13153740
95468306
102938848
111728000
12b98880
137bb883
1456701a
153d0b83
hex2cd7e0

2938848 has 96 divisors (see below), whose sum is σ = 8854272. Its totient is φ = 851840.

The previous prime is 2938843. The next prime is 2938853. The reversal of 2938848 is 8488392.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2938843) and next prime (2938853).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nialpdrome in base 12.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2938843) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127765 + ... + 127787.

It is an arithmetic number, because the mean of its divisors is an integer number (92232).

22938848 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 2938848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4427136).

2938848 is an abundant number, since it is smaller than the sum of its proper divisors (5915424).

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

2938848 is a wasteful number, since it uses less digits than its factorization.

2938848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 39 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 2938848 is about 1714.3068570125. The cubic root of 2938848 is about 143.2382615736.

The spelling of 2938848 in words is "two million, nine hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 121 132 138 176 184 242 253 264 276 352 363 368 484 506 528 552 726 736 759 968 1012 1056 1104 1331 1452 1518 1936 2024 2208 2662 2783 2904 3036 3872 3993 4048 5324 5566 5808 6072 7986 8096 8349 10648 11132 11616 12144 15972 16698 21296 22264 24288 30613 31944 33396 42592 44528 61226 63888 66792 89056 91839 122452 127776 133584 183678 244904 267168 367356 489808 734712 979616 1469424 2938848