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54112000 = 28531989
BaseRepresentation
bin1100111001101…
…0111100000000
310202211011201011
43032122330000
5102323041000
65211450304
71224641635
oct316327400
9122734634
1054112000
11285aa168
1216156994
13b297c47
14728818c
154b3d2ba
hex339af00

54112000 has 144 divisors (see below), whose sum is σ = 143488800. Its totient is φ = 20275200.

The previous prime is 54111997. The next prime is 54112001. The reversal of 54112000 is 21145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54112001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 607956 + ... + 608044.

It is an arithmetic number, because the mean of its divisors is an integer number (996450).

Almost surely, 254112000 is an apocalyptic number.

54112000 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 54112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71744400).

54112000 is an abundant number, since it is smaller than the sum of its proper divisors (89376800).

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

54112000 is an equidigital number, since it uses as much as digits as its factorization.

54112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 54112000 is about 7356.0859157571. The cubic root of 54112000 is about 378.2374514713.

Adding to 54112000 its reverse (21145), we get a palindrome (54133145).

The spelling of 54112000 in words is "fifty-four million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 89 95 100 125 128 152 160 178 190 200 250 256 304 320 356 380 400 445 475 500 608 640 712 760 800 890 950 1000 1216 1280 1424 1520 1600 1691 1780 1900 2000 2225 2375 2432 2848 3040 3200 3382 3560 3800 4000 4450 4750 4864 5696 6080 6400 6764 7120 7600 8000 8455 8900 9500 11125 11392 12160 13528 14240 15200 16000 16910 17800 19000 22250 22784 24320 27056 28480 30400 32000 33820 35600 38000 42275 44500 54112 56960 60800 67640 71200 76000 84550 89000 108224 113920 121600 135280 142400 152000 169100 178000 211375 216448 270560 284800 304000 338200 356000 422750 432896 541120 569600 608000 676400 712000 845500 1082240 1352800 1424000 1691000 2164480 2705600 2848000 3382000 5411200 6764000 10822400 13528000 27056000 54112000