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52558000 = 2453112389
BaseRepresentation
bin1100100001111…
…1100010110000
310122220020000121
43020133202300
5101423324000
65114300024
71205510215
oct310374260
9118806017
1052558000
1127738670
1215727614
13ab72811
146da1b0c
154932b1a
hex321f8b0

52558000 has 80 divisors (see below), whose sum is σ = 138696480. Its totient is φ = 19104000.

The previous prime is 52557983. The next prime is 52558001. The reversal of 52558000 is 85525.

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 (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52558001) 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, 20806 + ... + 23194.

It is an arithmetic number, because the mean of its divisors is an integer number (1733706).

Almost surely, 252558000 is an apocalyptic number.

52558000 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 52558000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69348240).

52558000 is an abundant number, since it is smaller than the sum of its proper divisors (86138480).

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

52558000 is a wasteful number, since it uses less digits than its factorization.

52558000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2423 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 52558000 is about 7249.6896485298. The cubic root of 52558000 is about 374.5814589621.

The spelling of 52558000 in words is "fifty-two million, five hundred fifty-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2389 2750 4400 4778 5500 9556 11000 11945 19112 22000 23890 26279 38224 47780 52558 59725 95560 105116 119450 131395 191120 210232 238900 262790 298625 420464 477800 525580 597250 656975 955600 1051160 1194500 1313950 2102320 2389000 2627900 3284875 4778000 5255800 6569750 10511600 13139500 26279000 52558000