Search a number
-
+
52706700 = 223752241
BaseRepresentation
bin1100100100001…
…1110110001100
310200011210000000
43021003312030
5101443103300
65121404300
71206666564
oct311036614
9120153000
1052706700
112782a362
1215799690
13abc53c7
146dddda4
154961c00
hex3243d8c

52706700 has 144 divisors (see below), whose sum is σ = 172245920. Its totient is φ = 13996800.

The previous prime is 52706663. The next prime is 52706711. The reversal of 52706700 is 760725.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 218580 + ... + 218820.

Almost surely, 252706700 is an apocalyptic number.

52706700 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 52706700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86122960).

52706700 is an abundant number, since it is smaller than the sum of its proper divisors (119539220).

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

52706700 is a wasteful number, since it uses less digits than its factorization.

52706700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 52706700 is about 7259.9380162643. The cubic root of 52706700 is about 374.9343885210.

The spelling of 52706700 in words is "fifty-two million, seven hundred six thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 241 243 270 300 324 405 450 482 486 540 675 723 729 810 900 964 972 1205 1215 1350 1446 1458 1620 2025 2169 2187 2410 2430 2700 2892 2916 3615 3645 4050 4338 4374 4820 4860 6025 6075 6507 7230 7290 8100 8676 8748 10845 10935 12050 12150 13014 14460 14580 18075 18225 19521 21690 21870 24100 24300 26028 32535 36150 36450 39042 43380 43740 54225 54675 58563 65070 72300 72900 78084 97605 108450 109350 117126 130140 162675 175689 195210 216900 218700 234252 292815 325350 351378 390420 488025 527067 585630 650700 702756 878445 976050 1054134 1171260 1464075 1756890 1952100 2108268 2635335 2928150 3513780 4392225 5270670 5856300 8784450 10541340 13176675 17568900 26353350 52706700