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52125024 = 253731583
BaseRepresentation
bin1100011011010…
…1110101100000
310122002020002110
43012311311200
5101321000044
65101115320
71202025000
oct306656540
9118066073
1052125024
1127472336
1215558b40
13aa50713
146ccc000
1548996b9
hex31b5d60

52125024 has 96 divisors (see below), whose sum is σ = 159667200. Its totient is φ = 14883456.

The previous prime is 52125019. The next prime is 52125053. The reversal of 52125024 is 42052125.

It is a happy number.

52125024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32137 + ... + 33719.

It is an arithmetic number, because the mean of its divisors is an integer number (1663200).

Almost surely, 252125024 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 52125024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79833600).

52125024 is an abundant number, since it is smaller than the sum of its proper divisors (107542176).

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

52125024 is a wasteful number, since it uses less digits than its factorization.

52125024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 52125024 is about 7219.7662012007. The cubic root of 52125024 is about 373.5500131053.

Adding to 52125024 its reverse (42052125), we get a palindrome (94177149).

The spelling of 52125024 in words is "fifty-two million, one hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 343 392 588 672 686 784 1029 1176 1372 1568 1583 2058 2352 2744 3166 4116 4704 4749 5488 6332 8232 9498 10976 11081 12664 16464 18996 22162 25328 32928 33243 37992 44324 50656 66486 75984 77567 88648 132972 151968 155134 177296 232701 265944 310268 354592 465402 531888 542969 620536 930804 1063776 1085938 1241072 1628907 1861608 2171876 2482144 3257814 3723216 4343752 6515628 7446432 8687504 13031256 17375008 26062512 52125024