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5132052 = 2233194161
BaseRepresentation
bin10011100100111100010100
3100122201212000
4103210330110
52303211202
6301555300
761423152
oct23447424
910581760
105132052
112995872
121875b30
1310a8c23
149783d2
156b591c
hex4e4f14

5132052 has 96 divisors (see below), whose sum is σ = 14582400. Its totient is φ = 1555200.

The previous prime is 5132051. The next prime is 5132053. The reversal of 5132052 is 2502315.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5132051) and next prime (5132053).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5132051) 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 31 ways as a sum of consecutive naturals, for example, 84102 + ... + 84162.

It is an arithmetic number, because the mean of its divisors is an integer number (151900).

Almost surely, 25132052 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 5132052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7291200).

5132052 is an abundant number, since it is smaller than the sum of its proper divisors (9450348).

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

5132052 is a wasteful number, since it uses less digits than its factorization.

5132052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5132052 is about 2265.4032753574. The cubic root of 5132052 is about 172.4899048913.

Adding to 5132052 its reverse (2502315), we get a palindrome (7634367).

It can be divided in two parts, 513 and 2052, that multiplied together give a square (1052676 = 10262).

The spelling of 5132052 in words is "five million, one hundred thirty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 41 54 57 61 76 82 108 114 122 123 164 171 183 228 244 246 342 366 369 492 513 549 684 732 738 779 1026 1098 1107 1159 1476 1558 1647 2052 2196 2214 2318 2337 2501 3116 3294 3477 4428 4636 4674 5002 6588 6954 7011 7503 9348 10004 10431 13908 14022 15006 20862 21033 22509 28044 30012 31293 41724 42066 45018 47519 62586 67527 84132 90036 95038 125172 135054 142557 190076 270108 285114 427671 570228 855342 1283013 1710684 2566026 5132052