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54025680 = 2435229983
BaseRepresentation
bin1100111000010…
…1110111010000
310202122210022010
43032011313100
5102312310210
65205542520
71224132162
oct316056720
9122583263
1054025680
1128550325
1216114a40
13b267877
147264932
154b22920
hex3385dd0

54025680 has 80 divisors (see below), whose sum is σ = 168382080. Its totient is φ = 14329344.

The previous prime is 54025627. The next prime is 54025681. The reversal of 54025680 is 8652045.

54025680 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54025681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 54469 + ... + 55451.

It is an arithmetic number, because the mean of its divisors is an integer number (2104776).

Almost surely, 254025680 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 54025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84191040).

54025680 is an abundant number, since it is smaller than the sum of its proper divisors (114356400).

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

54025680 is a wasteful number, since it uses less digits than its factorization.

54025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 54025680 is about 7350.2163233472. The cubic root of 54025680 is about 378.0362217186.

The spelling of 54025680 in words is "fifty-four million, twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 229 240 458 687 916 983 1145 1374 1832 1966 2290 2748 2949 3435 3664 3932 4580 4915 5496 5898 6870 7864 9160 9830 10992 11796 13740 14745 15728 18320 19660 23592 27480 29490 39320 47184 54960 58980 78640 117960 225107 235920 450214 675321 900428 1125535 1350642 1800856 2251070 2701284 3376605 3601712 4502140 5402568 6753210 9004280 10805136 13506420 18008560 27012840 54025680