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54381500 = 2253611783
BaseRepresentation
bin1100111101110…
…0101110111100
310210022212101122
43033130232330
5102410202000
65221330112
71230143435
oct317345674
9123285348
1054381500
1128773698
1216266938
13b360804
14731848c
154b93085
hex33dcbbc

54381500 has 48 divisors (see below), whose sum is σ = 120783936. Its totient is φ = 21384000.

The previous prime is 54381497. The next prime is 54381511. The reversal of 54381500 is 518345.

It is a self number, because there is not a number n which added to its sum of digits gives 54381500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29609 + ... + 31391.

It is an arithmetic number, because the mean of its divisors is an integer number (2516332).

Almost surely, 254381500 is an apocalyptic number.

54381500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54381500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60391968).

54381500 is an abundant number, since it is smaller than the sum of its proper divisors (66402436).

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

54381500 is a wasteful number, since it uses less digits than its factorization.

54381500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1863 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

The square root of 54381500 is about 7374.3813299829. The cubic root of 54381500 is about 378.8643378908.

Adding to 54381500 its reverse (518345), we get a palindrome (54899845).

The spelling of 54381500 in words is "fifty-four million, three hundred eighty-one thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 125 244 250 305 500 610 1220 1525 1783 3050 3566 6100 7132 7625 8915 15250 17830 30500 35660 44575 89150 108763 178300 217526 222875 435052 445750 543815 891500 1087630 2175260 2719075 5438150 10876300 13595375 27190750 54381500