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52315000 = 235410463
BaseRepresentation
bin1100011110010…
…0001101111000
310122102212200121
43013210031320
5101343040000
65105143024
71203445603
oct307441570
9118385617
1052315000
1127592041
121562aa74
13aab902a
146d3b33a
1548d5b1a
hex31e4378

52315000 has 40 divisors (see below), whose sum is σ = 122585760. Its totient is φ = 20924000.

The previous prime is 52314991. The next prime is 52315009. The reversal of 52315000 is 51325.

52315000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52314991) and next prime (52315009).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52315009) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 232 + ... + 10231.

It is an arithmetic number, because the mean of its divisors is an integer number (3064644).

Almost surely, 252315000 is an apocalyptic number.

52315000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52315000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61292880).

52315000 is an abundant number, since it is smaller than the sum of its proper divisors (70270760).

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

52315000 is a wasteful number, since it uses less digits than its factorization.

52315000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489 (or 10470 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 52315000 is about 7232.9108939624. The cubic root of 52315000 is about 374.0032790661.

Adding to 52315000 its reverse (51325), we get a palindrome (52366325).

The spelling of 52315000 in words is "fifty-two million, three hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 10463 20926 41852 52315 83704 104630 209260 261575 418520 523150 1046300 1307875 2092600 2615750 5231500 6539375 10463000 13078750 26157500 52315000