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52001334 = 232711172207
BaseRepresentation
bin1100011001011…
…1101000110110
310121211221102100
43012113220312
5101303020314
65054322530
71201001250
oct306275066
9117757370
1052001334
1127398410
12154b9446
13aa09328
146c98cd0
154872c09
hex3197a36

52001334 has 96 divisors (see below), whose sum is σ = 148801536. Its totient is φ = 12706560.

The previous prime is 52001333. The next prime is 52001399. The reversal of 52001334 is 43310025.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52001333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22459 + ... + 24665.

It is an arithmetic number, because the mean of its divisors is an integer number (1550016).

Almost surely, 252001334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52001334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74400768).

52001334 is an abundant number, since it is smaller than the sum of its proper divisors (96800202).

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

52001334 is a wasteful number, since it uses less digits than its factorization.

52001334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2250 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 52001334 is about 7211.1950465925. The cubic root of 52001334 is about 373.2543074300.

Adding to 52001334 its reverse (43310025), we get a palindrome (95311359).

The spelling of 52001334 in words is "fifty-two million, one thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 33 34 42 51 63 66 77 99 102 119 126 153 154 187 198 231 238 306 357 374 462 561 693 714 1071 1122 1309 1386 1683 2142 2207 2618 3366 3927 4414 6621 7854 11781 13242 15449 19863 23562 24277 30898 37519 39726 46347 48554 72831 75038 92694 112557 139041 145662 169939 218493 225114 262633 278082 337671 339878 412709 436986 509817 525266 675342 787899 825418 1019634 1238127 1529451 1575798 2363697 2476254 2888963 3058902 3714381 4727394 5777926 7428762 8666889 17333778 26000667 52001334