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51948 = 22331337
BaseRepresentation
bin1100101011101100
32122021000
430223230
53130243
61040300
7304311
oct145354
978230
1051948
1136036
1226090
131a850
1414d08
15105d3
hexcaec

51948 has 48 divisors (see below), whose sum is σ = 148960. Its totient is φ = 15552.

The previous prime is 51941. The next prime is 51949. The reversal of 51948 is 84915.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51941) by changing a digit.

51948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1386 + ... + 1422.

251948 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 51948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74480).

51948 is an abundant number, since it is smaller than the sum of its proper divisors (97012).

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

51948 is a wasteful number, since it uses less digits than its factorization.

51948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 55 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 51948 is about 227.9210389587. The cubic root of 51948 is about 37.3126657148.

It can be divided in two parts, 51 and 948, that added together give a palindrome (999).

The spelling of 51948 in words is "fifty-one thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 37 39 52 54 74 78 108 111 117 148 156 222 234 333 351 444 468 481 666 702 962 999 1332 1404 1443 1924 1998 2886 3996 4329 5772 8658 12987 17316 25974 51948