Search a number
-
+
55062 = 23271923
BaseRepresentation
bin1101011100010110
32210112100
431130112
53230222
61102530
7316350
oct153426
983470
1055062
1138407
1227a46
131c0a7
14160d0
15114ac
hexd716

55062 has 48 divisors (see below), whose sum is σ = 149760. Its totient is φ = 14256.

The previous prime is 55061. The next prime is 55073. The reversal of 55062 is 26055.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 55062.

It is not an unprimeable number, because it can be changed into a prime (55061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2383 + ... + 2405.

It is an arithmetic number, because the mean of its divisors is an integer number (3120).

255062 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55062, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880).

55062 is an abundant number, since it is smaller than the sum of its proper divisors (94698).

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

55062 is a wasteful number, since it uses less digits than its factorization.

55062 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55062 is about 234.6529352043. The cubic root of 55062 is about 38.0438091234.

The spelling of 55062 in words is "fifty-five thousand, sixty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 23 38 42 46 57 63 69 114 126 133 138 161 171 207 266 322 342 399 414 437 483 798 874 966 1197 1311 1449 2394 2622 2898 3059 3933 6118 7866 9177 18354 27531 55062