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52948 = 2273161
BaseRepresentation
bin1100111011010100
32200122001
430323110
53143243
61045044
7310240
oct147324
980561
1052948
1136865
1226784
131b13c
1415420
1510a4d
hexced4

52948 has 24 divisors (see below), whose sum is σ = 111104. Its totient is φ = 21600.

The previous prime is 52937. The next prime is 52951. The reversal of 52948 is 84925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838 + ... + 898.

252948 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 52948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55552).

52948 is an abundant number, since it is smaller than the sum of its proper divisors (58156).

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

52948 is a wasteful number, since it uses less digits than its factorization.

52948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 101 counting only the distinct ones).

The product of its digits is 2880, while the sum is 28.

The square root of 52948 is about 230.1043241662. The cubic root of 52948 is about 37.5505688143.

52948 divided by its sum of digits (28) gives a triangular number (1891 = T61).

It can be divided in two parts, 52 and 948, that added together give a cube (1000 = 103).

The spelling of 52948 in words is "fifty-two thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 31 61 62 122 124 217 244 427 434 854 868 1708 1891 3782 7564 13237 26474 52948