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52706000 = 245319273
BaseRepresentation
bin1100100100001…
…1101011010000
310200011202001002
43021003223100
5101443043000
65121401132
71206664544
oct311035320
9120152032
1052706000
1127829886
12157991a8
13abc4ca9
146ddda24
1549618d5
hex3243ad0

52706000 has 120 divisors (see below), whose sum is σ = 136346184. Its totient is φ = 19699200.

The previous prime is 52705987. The next prime is 52706011. The reversal of 52706000 is 60725.

It can be written as a sum of positive squares in 4 ways, for example, as 1669264 + 51036736 = 1292^2 + 7144^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 721964 + ... + 722036.

Almost surely, 252706000 is an apocalyptic number.

52706000 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 52706000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68173092).

52706000 is an abundant number, since it is smaller than the sum of its proper divisors (83640184).

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

52706000 is a wasteful number, since it uses less digits than its factorization.

52706000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 52706000 is about 7259.8898063263. The cubic root of 52706000 is about 374.9327286736.

Adding to 52706000 its reverse (60725), we get a palindrome (52766725).

The spelling of 52706000 in words is "fifty-two million, seven hundred six thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 73 76 80 95 100 125 146 152 190 200 250 292 304 361 365 380 400 475 500 584 722 730 760 950 1000 1168 1387 1444 1460 1520 1805 1825 1900 2000 2375 2774 2888 2920 3610 3650 3800 4750 5548 5776 5840 6935 7220 7300 7600 9025 9125 9500 11096 13870 14440 14600 18050 18250 19000 22192 26353 27740 28880 29200 34675 36100 36500 38000 45125 52706 55480 69350 72200 73000 90250 105412 110960 131765 138700 144400 146000 173375 180500 210824 263530 277400 346750 361000 421648 527060 554800 658825 693500 722000 1054120 1317650 1387000 2108240 2635300 2774000 3294125 5270600 6588250 10541200 13176500 26353000 52706000