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55341144 = 2334412083
BaseRepresentation
bin1101001100011…
…1000001011000
310212010121210000
43103013001120
5103131404034
65254053000
71241251305
oct323070130
9125117700
1055341144
1129269691
121664a160
13b608551
1474c80ac
154cd2599
hex34c7058

55341144 has 80 divisors (see below), whose sum is σ = 158863320. Its totient is φ = 17988480.

The previous prime is 55341131. The next prime is 55341157. The reversal of 55341144 is 44114355.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (55341131) and next prime (55341157).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 25527 + ... + 27609.

Almost surely, 255341144 is an apocalyptic number.

55341144 is a gapful number since it is divisible by the number (54) 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 55341144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79431660).

55341144 is an abundant number, since it is smaller than the sum of its proper divisors (103522176).

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

55341144 is a wasteful number, since it uses less digits than its factorization.

55341144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2142 (or 2129 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 55341144 is about 7439.1628561284. The cubic root of 55341144 is about 381.0799014021.

Adding to 55341144 its reverse (44114355), we get a palindrome (99455499).

The spelling of 55341144 in words is "fifty-five million, three hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 41 54 72 81 82 108 123 162 164 216 246 324 328 369 492 648 738 984 1107 1476 2083 2214 2952 3321 4166 4428 6249 6642 8332 8856 12498 13284 16664 18747 24996 26568 37494 49992 56241 74988 85403 112482 149976 168723 170806 224964 256209 337446 341612 449928 512418 674892 683224 768627 1024836 1349784 1537254 2049672 2305881 3074508 4611762 6149016 6917643 9223524 13835286 18447048 27670572 55341144