Search a number
-
+
53023986 = 23217210193
BaseRepresentation
bin1100101001000…
…1010011110010
310200202220020100
43022101103302
5102033231421
65132253230
71212460611
oct312212362
9120686210
1053023986
1127a26784
1215911216
13aca6952
147083878
1549c5c26
hex32914f2

53023986 has 36 divisors (see below), whose sum is σ = 122052762. Its totient is φ = 16633344.

The previous prime is 53023979. The next prime is 53024011. The reversal of 53023986 is 68932035.

It can be written as a sum of positive squares in 3 ways, for example, as 53012961 + 11025 = 7281^2 + 105^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 53023986.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106 + ... + 10298.

Almost surely, 253023986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53023986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61026381).

53023986 is an abundant number, since it is smaller than the sum of its proper divisors (69028776).

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

53023986 is a wasteful number, since it uses less digits than its factorization.

53023986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10235 (or 10215 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 53023986 is about 7281.7570681807. The cubic root of 53023986 is about 375.6852324546.

The spelling of 53023986 in words is "fifty-three million, twenty-three thousand, nine hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 289 306 578 867 1734 2601 5202 10193 20386 30579 61158 91737 173281 183474 346562 519843 1039686 1559529 2945777 3119058 5891554 8837331 17674662 26511993 53023986