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52114320 = 24335231049
BaseRepresentation
bin1100011011001…
…1001110010000
310122001200102000
43012303032100
5101320124240
65100554000
71201651536
oct306631620
9118050360
1052114320
1127465295
1215552900
13aa4889b
146cc8156
154896430
hex31b3390

52114320 has 160 divisors (see below), whose sum is σ = 187488000. Its totient is φ = 13280256.

The previous prime is 52114301. The next prime is 52114339. The reversal of 52114320 is 2341125.

52114320 is a `hidden beast` number, since 521 + 143 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (52114301) and next prime (52114339).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 52114293 and 52114302.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49156 + ... + 50204.

It is an arithmetic number, because the mean of its divisors is an integer number (1171800).

Almost surely, 252114320 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 52114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93744000).

52114320 is an abundant number, since it is smaller than the sum of its proper divisors (135373680).

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

52114320 is a wasteful number, since it uses less digits than its factorization.

52114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 52114320 is about 7219.0248648969. The cubic root of 52114320 is about 373.5244415547.

Adding to 52114320 its reverse (2341125), we get a palindrome (54455445).

It can be divided in two parts, 521 and 14320, that added together give a palindrome (14841).

The spelling of 52114320 in words is "fifty-two million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 920 1035 1049 1080 1104 1242 1380 1656 1840 2070 2098 2160 2484 2760 3105 3147 3312 4140 4196 4968 5245 5520 6210 6294 8280 8392 9441 9936 10490 12420 12588 15735 16560 16784 18882 20980 24127 24840 25176 28323 31470 37764 41960 47205 48254 49680 50352 56646 62940 72381 75528 83920 94410 96508 113292 120635 125880 141615 144762 151056 188820 193016 217143 226584 241270 251760 283230 289524 361905 377640 386032 434286 453168 482540 566460 579048 651429 723810 755280 868572 965080 1085715 1132920 1158096 1302858 1447620 1737144 1930160 2171430 2265840 2605716 2895240 3257145 3474288 4342860 5211432 5790480 6514290 8685720 10422864 13028580 17371440 26057160 52114320