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7952 = 24771
BaseRepresentation
bin1111100010000
3101220112
41330100
5223302
6100452
732120
oct17420
911815
107952
115a7a
124728
133809
142c80
152552
hex1f10

7952 has 20 divisors (see below), whose sum is σ = 17856. Its totient is φ = 3360.

The previous prime is 7951. The next prime is 7963. The reversal of 7952 is 2597.

7952 is nontrivially palindromic in base 15.

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (7951) 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, 77 + ... + 147.

27952 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 7952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8928).

7952 is an abundant number, since it is smaller than the sum of its proper divisors (9904).

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

7952 is a wasteful number, since it uses less digits than its factorization.

7952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 80 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 7952 is about 89.1739872384. The cubic root of 7952 is about 19.9599197323.

It can be divided in two parts, 795 and 2, that added together give a palindrome (797).

The spelling of 7952 in words is "seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 56 71 112 142 284 497 568 994 1136 1988 3976 7952