Search a number
-
+
5796144 = 243313417
BaseRepresentation
bin10110000111000100110000
3101220110211000
4112013010300
52440434034
6324122000
7100160244
oct26070460
911813730
105796144
1132a9802
121b36300
13127c293
14aac424
15797599
hex587130

5796144 has 40 divisors (see below), whose sum is σ = 16638320. Its totient is φ = 1931904.

The previous prime is 5796137. The next prime is 5796157. The reversal of 5796144 is 4416975.

It is a super-3 number, since 3×57961443 (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5796099 and 5796108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6277 + ... + 7140.

It is an arithmetic number, because the mean of its divisors is an integer number (415958).

Almost surely, 25796144 is an apocalyptic number.

5796144 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5796144 is an abundant number, since it is smaller than the sum of its proper divisors (10842176).

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

5796144 is a wasteful number, since it uses less digits than its factorization.

5796144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13434 (or 13422 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5796144 is about 2407.5182242301. The cubic root of 5796144 is about 179.6303525238.

The spelling of 5796144 in words is "five million, seven hundred ninety-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 13417 26834 40251 53668 80502 107336 120753 161004 214672 241506 322008 362259 483012 644016 724518 966024 1449036 1932048 2898072 5796144