Search a number
-
+
978164448 = 25310189213
BaseRepresentation
bin111010010011011…
…001101011100000
32112011120220100220
4322103121223200
54000402230243
6241021243040
733145155252
oct7223315340
92464526326
10978164448
1146216a478
12233703480
13127863441
1493ca5cd2
155ad1b783
hex3a4d9ae0

978164448 has 24 divisors (see below), whose sum is σ = 2567681928. Its totient is φ = 326054784.

The previous prime is 978164417. The next prime is 978164459. The reversal of 978164448 is 844461879.

978164448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×9781644482 = 1913611374662289408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 978164448.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5094511 + ... + 5094702.

It is an arithmetic number, because the mean of its divisors is an integer number (106986747).

Almost surely, 2978164448 is an apocalyptic number.

It is an amenable number.

978164448 is an abundant number, since it is smaller than the sum of its proper divisors (1589517480).

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

978164448 is a wasteful number, since it uses less digits than its factorization.

978164448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189226 (or 10189218 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 51.

The square root of 978164448 is about 31275.6206653041. The cubic root of 978164448 is about 992.6678536901.

The spelling of 978164448 in words is "nine hundred seventy-eight million, one hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 10189213 20378426 30567639 40756852 61135278 81513704 122270556 163027408 244541112 326054816 489082224 978164448