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55342000 = 245375967
BaseRepresentation
bin1101001100011…
…1001110110000
310212010122221201
43103013032300
5103131421000
65254100544
71241253640
oct323071660
9125118851
1055342000
112926a29a
121664a754
13b608a5c
1474c8520
154cd296a
hex34c73b0

55342000 has 160 divisors (see below), whose sum is σ = 157847040. Its totient is φ = 18374400.

The previous prime is 55341997. The next prime is 55342009. The reversal of 55342000 is 24355.

It is a happy number.

55342000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55342009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 825967 + ... + 826033.

It is an arithmetic number, because the mean of its divisors is an integer number (986544).

Almost surely, 255342000 is an apocalyptic number.

55342000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55342000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78923520).

55342000 is an abundant number, since it is smaller than the sum of its proper divisors (102505040).

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

55342000 is a wasteful number, since it uses less digits than its factorization.

55342000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 55342000 is about 7439.2203892612. The cubic root of 55342000 is about 381.0818662014.

Adding to 55342000 its reverse (24355), we get a palindrome (55366355).

The spelling of 55342000 in words is "fifty-five million, three hundred forty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 59 67 70 80 100 112 118 125 134 140 175 200 236 250 268 280 295 335 350 400 413 469 472 500 536 560 590 670 700 826 875 938 944 1000 1072 1180 1340 1400 1475 1652 1675 1750 1876 2000 2065 2345 2360 2680 2800 2950 3304 3350 3500 3752 3953 4130 4690 4720 5360 5900 6608 6700 7000 7375 7504 7906 8260 8375 9380 10325 11725 11800 13400 14000 14750 15812 16520 16750 18760 19765 20650 23450 23600 26800 27671 29500 31624 33040 33500 37520 39530 41300 46900 51625 55342 58625 59000 63248 67000 79060 82600 93800 98825 103250 110684 117250 118000 134000 138355 158120 165200 187600 197650 206500 221368 234500 276710 316240 395300 413000 442736 469000 494125 553420 691775 790600 826000 938000 988250 1106840 1383550 1581200 1976500 2213680 2767100 3458875 3953000 5534200 6917750 7906000 11068400 13835500 27671000 55342000