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57996 = 2234179
BaseRepresentation
bin1110001010001100
32221120000
432022030
53323441
61124300
7331041
oct161214
987500
1057996
113a634
1229690
1320523
14171c8
15122b6
hexe28c

57996 has 30 divisors (see below), whose sum is σ = 152460. Its totient is φ = 19224.

The previous prime is 57991. The next prime is 58013. The reversal of 57996 is 69975.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 57996.

It is not an unprimeable number, because it can be changed into a prime (57991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 235 + ... + 413.

It is an arithmetic number, because the mean of its divisors is an integer number (5082).

257996 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 57996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76230).

57996 is an abundant number, since it is smaller than the sum of its proper divisors (94464).

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

57996 is a wasteful number, since it uses less digits than its factorization.

57996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 57996 is about 240.8235868847. The cubic root of 57996 is about 38.7078765291.

It can be divided in two parts, 5 and 7996, that added together give a triangular number (8001 = T126).

The spelling of 57996 in words is "fifty-seven thousand, nine hundred ninety-six".