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52266000 = 2435331281
BaseRepresentation
bin1100011101100…
…0010000010000
310122100101110210
43013120100100
5101340003000
65104124120
71203153003
oct307302020
9118311423
1052266000
1127559246
1215606640
13aa9c937
146d2753a
1548c6350
hex31d8410

52266000 has 160 divisors (see below), whose sum is σ = 174560256. Its totient is φ = 13440000.

The previous prime is 52265999. The next prime is 52266001. The reversal of 52266000 is 66225.

52266000 = T464 + T465 + ... + T744.

It is an interprime number because it is at equal distance from previous prime (52265999) and next prime (52266001).

It is not an unprimeable number, because it can be changed into a prime (52266001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185860 + ... + 186140.

Almost surely, 252266000 is an apocalyptic number.

52266000 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 52266000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87280128).

52266000 is an abundant number, since it is smaller than the sum of its proper divisors (122294256).

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

52266000 is a wasteful number, since it uses less digits than its factorization.

52266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 52266000 is about 7229.5228058289. The cubic root of 52266000 is about 373.8864745467.

The spelling of 52266000 in words is "fifty-two million, two hundred sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 281 300 310 372 375 400 465 496 500 562 600 620 744 750 775 843 930 1000 1124 1200 1240 1405 1488 1500 1550 1686 1860 2000 2248 2325 2480 2810 3000 3100 3372 3720 3875 4215 4496 4650 5620 6000 6200 6744 7025 7440 7750 8430 8711 9300 11240 11625 12400 13488 14050 15500 16860 17422 18600 21075 22480 23250 26133 28100 31000 33720 34844 35125 37200 42150 43555 46500 52266 56200 62000 67440 69688 70250 84300 87110 93000 104532 105375 112400 130665 139376 140500 168600 174220 186000 209064 210750 217775 261330 281000 337200 348440 418128 421500 435550 522660 562000 653325 696880 843000 871100 1045320 1088875 1306650 1686000 1742200 2090640 2177750 2613300 3266625 3484400 4355500 5226600 6533250 8711000 10453200 13066500 17422000 26133000 52266000