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53020144 = 2417397491
BaseRepresentation
bin1100101001000…
…0010111110000
310200202200222001
43022100113300
5102033121034
65132223344
71212443452
oct312202760
9120680861
1053020144
1127a23901
121590ab54
13aca4c88
1470822d2
1549c4a14
hex32905f0

53020144 has 40 divisors (see below), whose sum is σ = 109265328. Its totient is φ = 24837120.

The previous prime is 53020133. The next prime is 53020147. The reversal of 53020144 is 44102035.

It is a super-2 number, since 2×530201442 = 5622271339561472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53020147) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 107739 + ... + 108229.

Almost surely, 253020144 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 53020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54632664).

53020144 is an abundant number, since it is smaller than the sum of its proper divisors (56245184).

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

53020144 is a wasteful number, since it uses less digits than its factorization.

53020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 53020144 is about 7281.4932534474. The cubic root of 53020144 is about 375.6761584636.

Adding to 53020144 its reverse (44102035), we get a palindrome (97122179).

The spelling of 53020144 in words is "fifty-three million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 397 491 794 982 1588 1964 3176 3928 6352 6749 7856 8347 13498 16694 26996 33388 53992 66776 107984 133552 194927 389854 779708 1559416 3118832 3313759 6627518 13255036 26510072 53020144