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532100052 = 2232118316189
BaseRepresentation
bin11111101101110…
…011001111010100
31101002020111001100
4133231303033110
52042204200202
6124444430100
716120530051
oct3755631724
91332214040
10532100052
112533a1710
1212a248330
1386313c03
1450950028
1531aa941c
hex1fb733d4

532100052 has 72 divisors (see below), whose sum is σ = 1485076320. Its totient is φ = 159289920.

The previous prime is 532100039. The next prime is 532100053. The reversal of 532100052 is 250001235.

It is a happy number.

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 = 532099998 and 532100034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532100053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24774 + ... + 40962.

It is an arithmetic number, because the mean of its divisors is an integer number (20626060).

Almost surely, 2532100052 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 532100052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742538160).

532100052 is an abundant number, since it is smaller than the sum of its proper divisors (952976268).

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

532100052 is a wasteful number, since it uses less digits than its factorization.

532100052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16293 (or 16288 counting only the distinct ones).

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

The square root of 532100052 is about 23067.2939895429. The cubic root of 532100052 is about 810.3346947886.

Adding to 532100052 its reverse (250001235), we get a palindrome (782101287).

The spelling of 532100052 in words is "five hundred thirty-two million, one hundred thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 83 99 132 166 198 249 332 396 498 747 913 996 1494 1826 2739 2988 3652 5478 8217 10956 16189 16434 32378 32868 48567 64756 97134 145701 178079 194268 291402 356158 534237 582804 712316 1068474 1343687 1602711 2136948 2687374 3205422 4031061 5374748 6410844 8062122 12093183 14780557 16124244 24186366 29561114 44341671 48372732 59122228 88683342 133025013 177366684 266050026 532100052