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52830036 = 22337267149
BaseRepresentation
bin1100100110000…
…1111101010100
310200102001012000
43021201331110
5102011030121
65124155300
71211022300
oct311417524
9120361160
1052830036
1127903a96
1215838b30
13ac3959c
147032d00
154988526
hex3261f54

52830036 has 144 divisors (see below), whose sum is σ = 162792000. Its totient is φ = 14769216.

The previous prime is 52830031. The next prime is 52830047. The reversal of 52830036 is 63003825.

52830036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×528300362 = 5582025407522592, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 52829991 and 52830009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52830031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 354490 + ... + 354638.

It is an arithmetic number, because the mean of its divisors is an integer number (1130500).

Almost surely, 252830036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52830036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81396000).

52830036 is an abundant number, since it is smaller than the sum of its proper divisors (109961964).

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

52830036 is a wasteful number, since it uses less digits than its factorization.

52830036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 52830036 is about 7268.4273402160. The cubic root of 52830036 is about 375.2266150274.

The spelling of 52830036 in words is "fifty-two million, eight hundred thirty thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 67 84 98 108 126 134 147 149 189 196 201 252 268 294 298 378 402 441 447 469 588 596 603 756 804 882 894 938 1043 1206 1323 1341 1407 1764 1788 1809 1876 2086 2412 2646 2682 2814 3129 3283 3618 4023 4172 4221 5292 5364 5628 6258 6566 7236 7301 8046 8442 9387 9849 9983 12516 12663 13132 14602 16092 16884 18774 19698 19966 21903 25326 28161 29204 29547 29949 37548 39396 39932 43806 50652 56322 59094 59898 65709 69881 87612 88641 89847 112644 118188 119796 131418 139762 177282 179694 197127 209643 262836 269541 279524 354564 359388 394254 419286 489167 539082 628929 788508 838572 978334 1078164 1257858 1467501 1886787 1956668 2515716 2935002 3773574 4402503 5870004 7547148 8805006 13207509 17610012 26415018 52830036