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2278848 = 263111383
BaseRepresentation
bin1000101100010111000000
311021202222210
420230113000
51040410343
6120502120
725240605
oct10542700
94252883
102278848
111317150
1291a940
1361a340
144346ac
15300333
hex22c5c0

2278848 has 112 divisors (see below), whose sum is σ = 7168896. Its totient is φ = 629760.

The previous prime is 2278847. The next prime is 2278877. The reversal of 2278848 is 8488722.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (57344) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278847) 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, 27415 + ... + 27497.

It is an arithmetic number, because the mean of its divisors is an integer number (64008).

22278848 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 2278848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3584448).

2278848 is an abundant number, since it is smaller than the sum of its proper divisors (4890048).

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

2278848 is a wasteful number, since it uses less digits than its factorization.

2278848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 112 counting only the distinct ones).

The product of its digits is 57344, while the sum is 39.

The square root of 2278848 is about 1509.5853735380. The cubic root of 2278848 is about 131.5947165157.

The spelling of 2278848 in words is "two million, two hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 83 88 96 104 132 143 156 166 176 192 208 249 264 286 312 332 352 416 429 498 528 572 624 664 704 832 858 913 996 1056 1079 1144 1248 1328 1716 1826 1992 2112 2158 2288 2496 2656 2739 3237 3432 3652 3984 4316 4576 5312 5478 6474 6864 7304 7968 8632 9152 10956 11869 12948 13728 14608 15936 17264 21912 23738 25896 27456 29216 34528 35607 43824 47476 51792 58432 69056 71214 87648 94952 103584 142428 175296 189904 207168 284856 379808 569712 759616 1139424 2278848