Search a number
-
+
55447920 = 24325117001
BaseRepresentation
bin1101001110000…
…1000101110000
310212100001020200
43103201011300
5103143313140
65300235200
71242204513
oct323410560
9125301220
1055447920
1129331930
121669bb00
13b645028
147514d7a
154d04030
hex34e1170

55447920 has 120 divisors (see below), whose sum is σ = 203170032. Its totient is φ = 13440000.

The previous prime is 55447919. The next prime is 55447943. The reversal of 55447920 is 2974455.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4420 + ... + 11420.

Almost surely, 255447920 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 55447920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101585016).

55447920 is an abundant number, since it is smaller than the sum of its proper divisors (147722112).

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

55447920 is a wasteful number, since it uses less digits than its factorization.

55447920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7031 (or 7022 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 55447920 is about 7446.3360117577. The cubic root of 55447920 is about 381.3248309622.

The spelling of 55447920 in words is "fifty-five million, four hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7001 7920 14002 21003 28004 35005 42006 56008 63009 70010 77011 84012 105015 112016 126018 140020 154022 168024 210030 231033 252036 280040 308044 315045 336048 385055 420060 462066 504072 560080 616088 630090 693099 770110 840120 924132 1008144 1155165 1232176 1260180 1386198 1540220 1680240 1848264 2310330 2520360 2772396 3080440 3465495 3696528 4620660 5040720 5544792 6160880 6930990 9241320 11089584 13861980 18482640 27723960 55447920