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52118000 = 24531123103
BaseRepresentation
bin1100011011010…
…0000111110000
310122001212110022
43012310013300
5101320234000
65101023012
71201665344
oct306640760
9118055408
1052118000
1127468030
1215554a68
13aa4a46c
146cc9624
154897585
hex31b41f0

52118000 has 160 divisors (see below), whose sum is σ = 144847872. Its totient is φ = 17952000.

The previous prime is 52117997. The next prime is 52118009. The reversal of 52118000 is 81125.

It is a self number, because there is not a number n which added to its sum of digits gives 52118000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52118009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505949 + ... + 506051.

Almost surely, 252118000 is an apocalyptic number.

52118000 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 52118000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72423936).

52118000 is an abundant number, since it is smaller than the sum of its proper divisors (92729872).

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

52118000 is a wasteful number, since it uses less digits than its factorization.

52118000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 52118000 is about 7219.2797424674. The cubic root of 52118000 is about 373.5332333646.

Adding to 52118000 its reverse (81125), we get a palindrome (52199125).

The spelling of 52118000 in words is "fifty-two million, one hundred eighteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 103 110 115 125 176 184 200 206 220 230 250 253 275 368 400 412 440 460 500 506 515 550 575 824 880 920 1000 1012 1030 1100 1133 1150 1265 1375 1648 1840 2000 2024 2060 2200 2266 2300 2369 2530 2575 2750 2875 4048 4120 4400 4532 4600 4738 5060 5150 5500 5665 5750 6325 8240 9064 9200 9476 10120 10300 11000 11330 11500 11845 12650 12875 18128 18952 20240 20600 22000 22660 23000 23690 25300 25750 26059 28325 31625 37904 41200 45320 46000 47380 50600 51500 52118 56650 59225 63250 90640 94760 101200 103000 104236 113300 118450 126500 130295 141625 189520 206000 208472 226600 236900 253000 260590 283250 296125 416944 453200 473800 506000 521180 566500 592250 651475 947600 1042360 1133000 1184500 1302950 2084720 2266000 2369000 2605900 3257375 4738000 5211800 6514750 10423600 13029500 26059000 52118000