Search a number
-
+
2078448 = 243194353
BaseRepresentation
bin111111011011011110000
310220121002120
413323123300
51013002243
6112314240
723444421
oct7733360
93817076
102078448
11119a629
12842980
1357a068
143c1648
152b0c83
hex1fb6f0

2078448 has 80 divisors (see below), whose sum is σ = 5892480. Its totient is φ = 628992.

The previous prime is 2078443. The next prime is 2078449. The reversal of 2078448 is 8448702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078443) 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, 39190 + ... + 39242.

It is an arithmetic number, because the mean of its divisors is an integer number (73656).

22078448 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 2078448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2946240).

2078448 is an abundant number, since it is smaller than the sum of its proper divisors (3814032).

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

2078448 is a wasteful number, since it uses less digits than its factorization.

2078448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 2078448 is about 1441.6823505891. The cubic root of 2078448 is about 127.6183292099.

The spelling of 2078448 in words is "two million, seventy-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 43 48 53 57 76 86 106 114 129 152 159 172 212 228 258 304 318 344 424 456 516 636 688 817 848 912 1007 1032 1272 1634 2014 2064 2279 2451 2544 3021 3268 4028 4558 4902 6042 6536 6837 8056 9116 9804 12084 13072 13674 16112 18232 19608 24168 27348 36464 39216 43301 48336 54696 86602 109392 129903 173204 259806 346408 519612 692816 1039224 2078448