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52214112 = 2533223271
BaseRepresentation
bin1100011100101…
…1100101100000
310122020202022000
43013023211200
5101331322422
65103044000
71202545506
oct307134540
9118222260
1052214112
1127523265
12155a0600
13aa82132
146d12676
1548b5cac
hex31cb960

52214112 has 96 divisors (see below), whose sum is σ = 153538560. Its totient is φ = 17262720.

The previous prime is 52214093. The next prime is 52214143. The reversal of 52214112 is 21141225.

52214112 is a `hidden beast` number, since 522 + 141 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192537 + ... + 192807.

It is an arithmetic number, because the mean of its divisors is an integer number (1599360).

Almost surely, 252214112 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 52214112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76769280).

52214112 is an abundant number, since it is smaller than the sum of its proper divisors (101324448).

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

52214112 is a wasteful number, since it uses less digits than its factorization.

52214112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 499 counting only the distinct ones).

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

The square root of 52214112 is about 7225.9332961217. The cubic root of 52214112 is about 373.7627061000.

Adding to 52214112 its reverse (21141225), we get a palindrome (73355337).

It can be divided in two parts, 52214 and 112, that added together give a triangular number (52326 = T323).

The spelling of 52214112 in words is "fifty-two million, two hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 223 271 288 432 446 542 669 813 864 892 1084 1338 1626 1784 2007 2168 2439 2676 3252 3568 4014 4336 4878 5352 6021 6504 7136 7317 8028 8672 9756 10704 12042 13008 14634 16056 19512 21408 24084 26016 29268 32112 39024 48168 58536 60433 64224 78048 96336 117072 120866 181299 192672 234144 241732 362598 483464 543897 725196 966928 1087794 1450392 1631691 1933856 2175588 2900784 3263382 4351176 5801568 6526764 8702352 13053528 17404704 26107056 52214112