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52121124 = 22331173601
BaseRepresentation
bin1100011011010…
…0111000100100
310122002000202000
43012310320210
5101320333444
65101045300
71202010426
oct306647044
9118060660
1052121124
112746a410
1215556830
13aa4ba03
146cca816
154898469
hex31b4e24

52121124 has 96 divisors (see below), whose sum is σ = 149681280. Its totient is φ = 15552000.

The previous prime is 52121093. The next prime is 52121141. The reversal of 52121124 is 42112125.

52121124 is a `hidden beast` number, since 521 + 21 + 124 = 666.

It is a super-2 number, since 2×521211242 = 5433223134046752, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 52121097 and 52121106.

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, 86424 + ... + 87024.

It is an arithmetic number, because the mean of its divisors is an integer number (1559180).

Almost surely, 252121124 is an apocalyptic number.

52121124 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52121124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74840640).

52121124 is an abundant number, since it is smaller than the sum of its proper divisors (97560156).

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

52121124 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (52121123) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (698).

52121124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 690 counting only the distinct ones).

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

The square root of 52121124 is about 7219.4961042998. The cubic root of 52121124 is about 373.5406965220.

Adding to 52121124 its reverse (42112125), we get a palindrome (94233249).

It can be divided in two parts, 5212 and 1124, that added together give a palindrome (6336).

The spelling of 52121124 in words is "fifty-two million, one hundred twenty-one thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 99 108 132 146 198 219 292 297 396 438 594 601 657 803 876 1188 1202 1314 1606 1803 1971 2404 2409 2628 3212 3606 3942 4818 5409 6611 7212 7227 7884 9636 10818 13222 14454 16227 19833 21636 21681 26444 28908 32454 39666 43362 43873 59499 64908 79332 86724 87746 118998 131619 175492 178497 237996 263238 356994 394857 482603 526476 713988 789714 965206 1184571 1447809 1579428 1930412 2369142 2895618 4343427 4738284 5791236 8686854 13030281 17373708 26060562 52121124