Search a number
-
+
5838378 = 2371317237
BaseRepresentation
bin10110010001011000101010
3101222121202020
4112101120222
52443312003
6325045310
7100424340
oct26213052
911877666
105838378
113328507
121b56836
131295580
14abd990
157a4d53
hex59162a

5838378 has 96 divisors (see below), whose sum is σ = 15679104. Its totient is φ = 1410048.

The previous prime is 5838373. The next prime is 5838379. The reversal of 5838378 is 8738385.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (161280) is a multiple of the sum of its prime factors (96).

It is not an unprimeable number, because it can be changed into a prime (5838373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157776 + ... + 157812.

It is an arithmetic number, because the mean of its divisors is an integer number (163324).

Almost surely, 25838378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5838378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839552).

5838378 is an abundant number, since it is smaller than the sum of its proper divisors (9840726).

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

5838378 is a wasteful number, since it uses less digits than its factorization.

5838378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 79 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 5838378 is about 2416.2735772259. The cubic root of 5838378 is about 180.0655933783.

It can be divided in two parts, 5838 and 378, that added together give a triangular number (6216 = T111).

The spelling of 5838378 in words is "five million, eight hundred thirty-eight thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 37 39 42 51 74 78 91 102 111 119 182 221 222 238 259 273 289 357 442 481 518 546 578 629 663 714 777 867 962 1258 1326 1443 1547 1554 1734 1887 2023 2886 3094 3367 3757 3774 4046 4403 4641 6069 6734 7514 8177 8806 9282 10101 10693 11271 12138 13209 16354 20202 21386 22542 24531 26299 26418 32079 49062 52598 57239 64158 74851 78897 114478 139009 149702 157794 171717 224553 278018 343434 417027 449106 834054 973063 1946126 2919189 5838378