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20202752 = 28531489
BaseRepresentation
bin100110100010…
…0010100000000
31102000101222002
41031010110000
520132442002
62001003132
7333502103
oct115042400
942011862
1020202752
1110449699
1269234a8
1342547bb
14297c73a
151b91002
hex1344500

20202752 has 36 divisors (see below), whose sum is σ = 41115060. Its totient is φ = 9904128.

The previous prime is 20202751. The next prime is 20202769. The reversal of 20202752 is 25720202.

It can be written as a sum of positive squares in 2 ways, for example, as 9339136 + 10863616 = 3056^2 + 3296^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20202751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12824 + ... + 14312.

It is an arithmetic number, because the mean of its divisors is an integer number (1142085).

Almost surely, 220202752 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 20202752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20557530).

20202752 is an abundant number, since it is smaller than the sum of its proper divisors (20912308).

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

20202752 is an equidigital number, since it uses as much as digits as its factorization.

20202752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1544 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 20.

The square root of 20202752 is about 4494.7471564038. The cubic root of 20202752 is about 272.3559354088.

Adding to 20202752 its reverse (25720202), we get a palindrome (45922954).

The spelling of 20202752 in words is "twenty million, two hundred two thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1489 1696 2978 3392 5956 6784 11912 13568 23824 47648 78917 95296 157834 190592 315668 381184 631336 1262672 2525344 5050688 10101376 20202752