Search a number
74208 = 253773
BaseRepresentation
bin10010000111100000
310202210110
4102013200
54333313
61331320
7426231
oct220740
9122713
1074208
1150832
1236b40
1327a14
141d088
1516ec3
hex121e0

74208 has 24 divisors (see below), whose sum is σ = 195048. Its totient is φ = 24704.

The previous prime is 74203. The next prime is 74209. The reversal of 74208 is 80247.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 291 + ... + 482.

It is an arithmetic number, because the mean of its divisors is an integer number (8127).

274208 is an apocalyptic number.

It is an amenable number.

74208 is an abundant number, since it is smaller than the sum of its proper divisors (120840).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97524).

74208 is a wasteful number, since it uses less digits than its factorization.

74208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 74208 is about 272.4114535037. The cubic root of 74208 is about 42.0226635054.

It can be divided in two parts, 74 and 208, that added together give a palindrome (282).

The spelling of 74208 in words is "seventy-four thousand, two hundred eight".