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52411680 = 25325172141
BaseRepresentation
bin1100011111101…
…1110100100000
310122121210022100
43013323310200
5101404133210
65111210400
71204330506
oct307736440
9118553270
1052411680
1127648742
1215676a00
13ab21039
146d64676
1549045c0
hex31fbd20

52411680 has 144 divisors (see below), whose sum is σ = 189464184. Its totient is φ = 13148160.

The previous prime is 52411673. The next prime is 52411693. The reversal of 52411680 is 8611425.

It can be written as a sum of positive squares in 4 ways, for example, as 52359696 + 51984 = 7236^2 + 228^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23410 + ... + 25550.

Almost surely, 252411680 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 52411680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94732092).

52411680 is an abundant number, since it is smaller than the sum of its proper divisors (137052504).

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

52411680 is a wasteful number, since it uses less digits than its factorization.

52411680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2179 (or 2168 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 52411680 is about 7239.5911486768. The cubic root of 52411680 is about 374.2335277883.

The spelling of 52411680 in words is "fifty-two million, four hundred eleven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2141 2448 2720 3060 4080 4282 4896 6120 6423 8160 8564 10705 12240 12846 17128 19269 21410 24480 25692 32115 34256 36397 38538 42820 51384 64230 68512 72794 77076 85640 96345 102768 109191 128460 145588 154152 171280 181985 192690 205536 218382 256920 291176 308304 327573 342560 363970 385380 436764 513840 545955 582352 616608 655146 727940 770760 873528 1027680 1091910 1164704 1310292 1455880 1541520 1637865 1747056 2183820 2620584 2911760 3083040 3275730 3494112 4367640 5241168 5823520 6551460 8735280 10482336 13102920 17470560 26205840 52411680