Search a number
-
+
52737048 = 23337132683
BaseRepresentation
bin1100100100101…
…1010000011000
310200020022122000
43021023100120
5102000041143
65122201000
71210154220
oct311132030
9120208560
1052737048
1127850141
12157b3160
13ac06170
14700b080
15496abd3
hex324b418

52737048 has 128 divisors (see below), whose sum is σ = 180364800. Its totient is φ = 13903488.

The previous prime is 52737037. The next prime is 52737053. The reversal of 52737048 is 84073725.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18315 + ... + 20997.

It is an arithmetic number, because the mean of its divisors is an integer number (1409100).

Almost surely, 252737048 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 52737048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90182400).

52737048 is an abundant number, since it is smaller than the sum of its proper divisors (127627752).

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

52737048 is a wasteful number, since it uses less digits than its factorization.

52737048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2718 (or 2708 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 52737048 is about 7262.0278159754. The cubic root of 52737048 is about 375.0063358929.

It can be divided in two parts, 5273 and 7048, that added together give a palindrome (12321).

The spelling of 52737048 in words is "fifty-two million, seven hundred thirty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2683 2808 3276 4914 5366 6552 8049 9828 10732 16098 18781 19656 21464 24147 32196 34879 37562 48294 56343 64392 69758 72441 75124 96588 104637 112686 139516 144882 150248 169029 193176 209274 225372 244153 279032 289764 313911 338058 418548 450744 488306 507087 579528 627822 676116 732459 837096 941733 976612 1014174 1255644 1352232 1464918 1883466 1953224 2028348 2197377 2511288 2929836 3766932 4056696 4394754 5859672 6592131 7533864 8789508 13184262 17579016 26368524 52737048