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52114752 = 26361117
BaseRepresentation
bin1100011011001…
…1010101000000
310122001201000000
43012303111000
5101320133002
65101000000
71201653024
oct306632500
9118051000
1052114752
1127465648
1215553000
13aa48b41
146cc8384
15489661c
hex31b3540

52114752 has 98 divisors (see below), whose sum is σ = 155190698. Its totient is φ = 17356032.

The previous prime is 52114747. The next prime is 52114789. The reversal of 52114752 is 25741125.

It can be written as a sum of positive squares in only one way, i.e., 31539456 + 20575296 = 5616^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 46098 + ... + 47214.

Almost surely, 252114752 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 52114752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77595349).

52114752 is an abundant number, since it is smaller than the sum of its proper divisors (103075946).

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

52114752 is an equidigital number, since it uses as much as digits as its factorization.

52114752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1122 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 52114752 is about 7219.0547857736. The cubic root of 52114752 is about 373.5254736581.

Adding to 52114752 its reverse (25741125), we get a palindrome (77855877).

The spelling of 52114752 in words is "fifty-two million, one hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1117 1296 1458 1728 1944 2234 2592 2916 3351 3888 4468 5184 5832 6702 7776 8936 10053 11664 13404 15552 17872 20106 23328 26808 30159 35744 40212 46656 53616 60318 71488 80424 90477 107232 120636 160848 180954 214464 241272 271431 321696 361908 482544 542862 643392 723816 814293 965088 1085724 1447632 1628586 1930176 2171448 2895264 3257172 4342896 5790528 6514344 8685792 13028688 17371584 26057376 52114752