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52705000 = 235483127
BaseRepresentation
bin1100100100001…
…1011011101000
310200011200200001
43021003123220
5101443030000
65121352344
71206661615
oct311033350
9120150601
1052705000
1127829057
12157986b4
13abc46ba
146ddd50c
15496146a
hex32436e8

52705000 has 80 divisors (see below), whose sum is σ = 125959680. Its totient is φ = 20664000.

The previous prime is 52704979. The next prime is 52705021. The reversal of 52705000 is 50725.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52704979) and next prime (52705021).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 414937 + ... + 415063.

It is an arithmetic number, because the mean of its divisors is an integer number (1574496).

Almost surely, 252705000 is an apocalyptic number.

52705000 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 52705000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62979840).

52705000 is an abundant number, since it is smaller than the sum of its proper divisors (73254680).

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

52705000 is a wasteful number, since it uses less digits than its factorization.

52705000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 19.

The square root of 52705000 is about 7259.8209344308. The cubic root of 52705000 is about 374.9303574376.

Adding to 52705000 its reverse (50725), we get a palindrome (52755725).

The spelling of 52705000 in words is "fifty-two million, seven hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 83 100 125 127 166 200 250 254 332 415 500 508 625 635 664 830 1000 1016 1250 1270 1660 2075 2500 2540 3175 3320 4150 5000 5080 6350 8300 10375 10541 12700 15875 16600 20750 21082 25400 31750 41500 42164 51875 52705 63500 79375 83000 84328 103750 105410 127000 158750 207500 210820 263525 317500 415000 421640 527050 635000 1054100 1317625 2108200 2635250 5270500 6588125 10541000 13176250 26352500 52705000