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52142112 = 253211109151
BaseRepresentation
bin1100011011101…
…0000000100000
310122010002112100
43012322000200
5101322021422
65101330400
71202125551
oct306720040
9118102470
1052142112
1127484160
1215566a00
13aa58429
146cd4328
15489e7ac
hex31ba020

52142112 has 144 divisors (see below), whose sum is σ = 164324160. Its totient is φ = 15552000.

The previous prime is 52142071. The next prime is 52142141. The reversal of 52142112 is 21124125.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 345237 + ... + 345387.

It is an arithmetic number, because the mean of its divisors is an integer number (1141140).

Almost surely, 252142112 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 52142112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82162080).

52142112 is an abundant number, since it is smaller than the sum of its proper divisors (112182048).

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

52142112 is a wasteful number, since it uses less digits than its factorization.

52142112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 52142112 is about 7220.9495220504. The cubic root of 52142112 is about 373.5908285955.

Adding to 52142112 its reverse (21124125), we get a palindrome (73266237).

The spelling of 52142112 in words is "fifty-two million, one hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 109 132 144 151 176 198 218 264 288 302 327 352 396 436 453 528 604 654 792 872 906 981 1056 1199 1208 1308 1359 1584 1661 1744 1812 1962 2398 2416 2616 2718 3168 3322 3488 3597 3624 3924 4796 4832 4983 5232 5436 6644 7194 7248 7848 9592 9966 10464 10791 10872 13288 14388 14496 14949 15696 16459 19184 19932 21582 21744 26576 28776 29898 31392 32918 38368 39864 43164 43488 49377 53152 57552 59796 65836 79728 86328 98754 115104 119592 131672 148131 159456 172656 181049 197508 239184 263344 296262 345312 362098 395016 478368 526688 543147 592524 724196 790032 1086294 1185048 1448392 1580064 1629441 2172588 2370096 2896784 3258882 4345176 4740192 5793568 6517764 8690352 13035528 17380704 26071056 52142112