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54376 = 237971
BaseRepresentation
bin1101010001101000
32202120221
431101220
53220001
61055424
7314350
oct152150
982527
1054376
1137943
1227574
131b99a
1415b60
15111a1
hexd468

54376 has 16 divisors (see below), whose sum is σ = 116640. Its totient is φ = 23280.

The previous prime is 54371. The next prime is 54377. The reversal of 54376 is 67345.

54376 = T13 + T14 + ... + T68.

It is a self number, because there is not a number n which added to its sum of digits gives 54376.

It is not an unprimeable number, because it can be changed into a prime (54371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 430 + ... + 541.

It is an arithmetic number, because the mean of its divisors is an integer number (7290).

254376 is an apocalyptic number.

54376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

54376 is an abundant number, since it is smaller than the sum of its proper divisors (62264).

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 (58320).

54376 is a wasteful number, since it uses less digits than its factorization.

54376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 980 counting only the distinct ones).

The product of its digits is 2520, while the sum is 25.

The square root of 54376 is about 233.1866205424. The cubic root of 54376 is about 37.8851565017.

The spelling of 54376 in words is "fifty-four thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 56 971 1942 3884 6797 7768 13594 27188 54376