Search a number
-
+
54379800 = 23325230211
BaseRepresentation
bin1100111101110…
…0010100011000
310210022210001200
43033130110120
5102410123200
65221314200
71230135456
oct317342430
9123283050
1054379800
1128772392
1216265960
13b35cac7
1473179d6
154b92800
hex33dc518

54379800 has 72 divisors (see below), whose sum is σ = 182631540. Its totient is φ = 14500800.

The previous prime is 54379783. The next prime is 54379811. The reversal of 54379800 is 897345.

54379800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13306 + ... + 16905.

Almost surely, 254379800 is an apocalyptic number.

54379800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54379800 is an abundant number, since it is smaller than the sum of its proper divisors (128251740).

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

54379800 is a wasteful number, since it uses less digits than its factorization.

54379800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30233 (or 30221 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 54379800 is about 7374.2660651756. The cubic root of 54379800 is about 378.8603900036.

The spelling of 54379800 in words is "fifty-four million, three hundred seventy-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 30211 60422 90633 120844 151055 181266 241688 271899 302110 362532 453165 543798 604220 725064 755275 906330 1087596 1208440 1359495 1510550 1812660 2175192 2265825 2718990 3021100 3625320 4531650 5437980 6042200 6797475 9063300 10875960 13594950 18126600 27189900 54379800