[go: up one dir, main page]

Search a number
-
+
55332420 = 223511136449
BaseRepresentation
bin1101001100010…
…0111001000100
310212010011210220
43103010321010
5103131114140
65253544340
71241214003
oct323047104
9125104726
1055332420
1129263080
12166450b0
13b6045a0
1474c4c3a
154ccebd0
hex34c4e44

55332420 has 96 divisors (see below), whose sum is σ = 182044800. Its totient is φ = 12380160.

The previous prime is 55332413. The next prime is 55332449. The reversal of 55332420 is 2423355.

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 31 ways as a sum of consecutive naturals, for example, 5356 + ... + 11804.

It is an arithmetic number, because the mean of its divisors is an integer number (1896300).

Almost surely, 255332420 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 55332420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91022400).

55332420 is an abundant number, since it is smaller than the sum of its proper divisors (126712380).

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

55332420 is a wasteful number, since it uses less digits than its factorization.

55332420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6485 (or 6483 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 55332420 is about 7438.5764767192. The cubic root of 55332420 is about 381.0598758206.

Adding to 55332420 its reverse (2423355), we get a palindrome (57755775).

The spelling of 55332420 in words is "fifty-five million, three hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 6449 8580 12898 19347 25796 32245 38694 64490 70939 77388 83837 96735 128980 141878 167674 193470 212817 251511 283756 335348 354695 386940 419185 425634 503022 709390 838370 851268 922207 1006044 1064085 1257555 1418780 1676740 1844414 2128170 2515110 2766621 3688828 4256340 4611035 5030220 5533242 9222070 11066484 13833105 18444140 27666210 55332420