Search a number
-
+
53825536 = 21217773
BaseRepresentation
bin1100110101010…
…1000000000000
310202021121202101
43031111000000
5102234404121
65201400144
71222336522
oct315250000
9122247671
1053825536
1128423a16
1216039054
13b1c773b
147211a12
154ad3491
hex3355000

53825536 has 52 divisors (see below), whose sum is σ = 114117012. Its totient is φ = 25296896.

The previous prime is 53825531. The next prime is 53825539. The reversal of 53825536 is 63552835.

It can be written as a sum of positive squares in 2 ways, for example, as 20647936 + 33177600 = 4544^2 + 5760^2 .

It is a zygodrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 53825495 and 53825504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53825531) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69246 + ... + 70018.

Almost surely, 253825536 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 53825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57058506).

53825536 is an abundant number, since it is smaller than the sum of its proper divisors (60291476).

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

53825536 is an equidigital number, since it uses as much as digits as its factorization.

53825536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 792 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 53825536 is about 7336.5888531388. The cubic root of 53825536 is about 377.5688186451.

The spelling of 53825536 in words is "fifty-three million, eight hundred twenty-five thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 773 1024 1088 1546 2048 2176 3092 4096 4352 6184 8704 12368 13141 17408 24736 26282 34816 49472 52564 69632 98944 105128 197888 210256 395776 420512 791552 841024 1583104 1682048 3166208 3364096 6728192 13456384 26912768 53825536