Search a number
-
+
52202124 = 22331337181
BaseRepresentation
bin1100011100100…
…0101010001100
310122020010212000
43013020222030
5101330431444
65102512300
71202465532
oct307105214
9118203760
1052202124
1127515257
1215595690
13aa79840
146d0c152
1548b2469
hex31c8a8c

52202124 has 48 divisors (see below), whose sum is σ = 145753440. Its totient is φ = 16061760.

The previous prime is 52202123. The next prime is 52202147. The reversal of 52202124 is 42120225.

It is a super-2 number, since 2×522021242 = 5450123500222752, 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 = 52202097 and 52202106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52202123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17187 + ... + 19994.

It is an arithmetic number, because the mean of its divisors is an integer number (3036530).

Almost surely, 252202124 is an apocalyptic number.

52202124 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

52202124 is an abundant number, since it is smaller than the sum of its proper divisors (93551316).

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

52202124 is a wasteful number, since it uses less digits than its factorization.

52202124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37207 (or 37199 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 52202124 is about 7225.1037362795. The cubic root of 52202124 is about 373.7340994641.

Adding to 52202124 its reverse (42120225), we get a palindrome (94322349).

It can be divided in two parts, 52202 and 124, that added together give a triangular number (52326 = T323).

The spelling of 52202124 in words is "fifty-two million, two hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 37181 74362 111543 148724 223086 334629 446172 483353 669258 966706 1003887 1338516 1450059 1933412 2007774 2900118 4015548 4350177 5800236 8700354 13050531 17400708 26101062 52202124