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74152 = 23132331
BaseRepresentation
bin10010000110101000
310202201101
4102012220
54333102
61331144
7426121
oct220650
9122641
1074152
1150791
1236ab4
13279a0
141d048
1516e87
hex121a8

74152 has 32 divisors (see below), whose sum is σ = 161280. Its totient is φ = 31680.

The previous prime is 74149. The next prime is 74159. The reversal of 74152 is 25147.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (74159) 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, 2377 + ... + 2407.

It is an arithmetic number, because the mean of its divisors is an integer number (5040).

274152 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 74152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80640).

74152 is an abundant number, since it is smaller than the sum of its proper divisors (87128).

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

74152 is a wasteful number, since it uses less digits than its factorization.

74152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 69 counting only the distinct ones).

The product of its digits is 280, while the sum is 19.

The square root of 74152 is about 272.3086484121. The cubic root of 74152 is about 42.0120902457.

Adding to 74152 its reverse (25147), we get a palindrome (99299).

The spelling of 74152 in words is "seventy-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 23 26 31 46 52 62 92 104 124 184 248 299 403 598 713 806 1196 1426 1612 2392 2852 3224 5704 9269 18538 37076 74152