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55993 = 719421
BaseRepresentation
bin1101101010111001
32211210211
431222321
53242433
61111121
7322150
oct155271
984724
1055993
1139083
12284a1
131c642
1416597
15118cd
hexdab9

55993 has 8 divisors (see below), whose sum is σ = 67520. Its totient is φ = 45360.

The previous prime is 55987. The next prime is 55997. The reversal of 55993 is 39955.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2k-55993 is a prime.

It is a Duffinian number.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55997) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (8440).

255993 is an apocalyptic number.

It is an amenable number.

55993 is a deficient number, since it is larger than the sum of its proper divisors (11527).

55993 is a wasteful number, since it uses less digits than its factorization.

55993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447.

The product of its digits is 6075, while the sum is 31.

The square root of 55993 is about 236.6284006623. The cubic root of 55993 is about 38.2570294797.

It can be divided in two parts, 55 and 993, that multiplied together give a triangular number (54615 = T330).

The spelling of 55993 in words is "fifty-five thousand, nine hundred ninety-three".

Divisors: 1 7 19 133 421 2947 7999 55993