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52563852 = 22321131097
BaseRepresentation
bin1100100010000…
…0111110001100
310122220112001100
43020200332030
5101424020402
65114343100
71205533245
oct310407614
9118815040
1052563852
1127742000
121572aa90
13ab75393
146da3ccc
15493471c
hex3220f8c

52563852 has 72 divisors (see below), whose sum is σ = 146279952. Its totient is φ = 15913920.

The previous prime is 52563851. The next prime is 52563853. The reversal of 52563852 is 25836525.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (52563851) and next prime (52563853).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (52563851) 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 23 ways as a sum of consecutive naturals, for example, 47368 + ... + 48464.

It is an arithmetic number, because the mean of its divisors is an integer number (2031666).

Almost surely, 252563852 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 52563852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73139976).

52563852 is an abundant number, since it is smaller than the sum of its proper divisors (93716100).

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

52563852 is a wasteful number, since it uses less digits than its factorization.

52563852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1113 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 52563852 is about 7250.0932407797. The cubic root of 52563852 is about 374.5953608695.

The spelling of 52563852 in words is "fifty-two million, five hundred sixty-three thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1097 1331 1452 2178 2194 2662 3291 3993 4356 4388 5324 6582 7986 9873 11979 12067 13164 15972 19746 23958 24134 36201 39492 47916 48268 72402 108603 132737 144804 217206 265474 398211 434412 530948 796422 1194633 1460107 1592844 2389266 2920214 4380321 4778532 5840428 8760642 13140963 17521284 26281926 52563852