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52466700 = 2235211131223
BaseRepresentation
bin1100100000100…
…1010000001100
310122201120210010
43020021100030
5101412413300
65112313220
71204650066
oct310112014
9118646703
1052466700
1127686010
12156a2810
13ab400b0
146d7a736
154915a50
hex320940c

52466700 has 144 divisors (see below), whose sum is σ = 178488576. Its totient is φ = 11731200.

The previous prime is 52466693. The next prime is 52466717. The reversal of 52466700 is 766425.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42289 + ... + 43511.

It is an arithmetic number, because the mean of its divisors is an integer number (1239504).

Almost surely, 252466700 is an apocalyptic number.

52466700 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 52466700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89244288).

52466700 is an abundant number, since it is smaller than the sum of its proper divisors (126021876).

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

52466700 is a wasteful number, since it uses less digits than its factorization.

52466700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 52466700 is about 7243.3900902823. The cubic root of 52466700 is about 374.3644345371.

The spelling of 52466700 in words is "fifty-two million, four hundred sixty-six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1100 1223 1300 1430 1650 1716 1950 2145 2446 2860 3300 3575 3669 3900 4290 4892 6115 7150 7338 8580 10725 12230 13453 14300 14676 15899 18345 21450 24460 26906 30575 31798 36690 40359 42900 47697 53812 61150 63596 67265 73380 79495 80718 91725 95394 122300 134530 158990 161436 174889 183450 190788 201795 238485 269060 317980 336325 349778 366900 397475 403590 476970 524667 672650 699556 794950 807180 874445 953940 1008975 1049334 1192425 1345300 1589900 1748890 2017950 2098668 2384850 2623335 3497780 4035900 4372225 4769700 5246670 8744450 10493340 13116675 17488900 26233350 52466700