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54025400 = 235211131889
BaseRepresentation
bin1100111000010…
…1110010111000
310202122202220202
43032011302320
5102312303100
65205541332
71224131312
oct316056270
9122582822
1054025400
11285500a0
1216114848
13b2676c0
1472647b2
154b227d5
hex3385cb8

54025400 has 96 divisors (see below), whose sum is σ = 147646800. Its totient is φ = 18124800.

The previous prime is 54025397. The next prime is 54025421. The reversal of 54025400 is 452045.

It is a happy number.

54025400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 27656 + ... + 29544.

Almost surely, 254025400 is an apocalyptic number.

54025400 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 54025400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73823400).

54025400 is an abundant number, since it is smaller than the sum of its proper divisors (93621400).

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

54025400 is a wasteful number, since it uses less digits than its factorization.

54025400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 54025400 is about 7350.1972762641. The cubic root of 54025400 is about 378.0355686321.

Adding to 54025400 its reverse (452045), we get a palindrome (54477445).

The spelling of 54025400 in words is "fifty-four million, twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1100 1144 1300 1430 1889 2200 2600 2860 3575 3778 5720 7150 7556 9445 14300 15112 18890 20779 24557 28600 37780 41558 47225 49114 75560 83116 94450 98228 103895 122785 166232 188900 196456 207790 245570 270127 377800 415580 491140 519475 540254 613925 831160 982280 1038950 1080508 1227850 1350635 2077900 2161016 2455700 2701270 4155800 4911400 5402540 6753175 10805080 13506350 27012700 54025400