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53011035 = 32571115299
BaseRepresentation
bin1100101000111…
…0001001011011
310200202020110200
43022032021123
5102032323120
65132113243
71212405060
oct312161133
9120666420
1053011035
1127a17a80
1215905823
13aca0a9c
14707cc67
1549c1e90
hex328e25b

53011035 has 48 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 22029120.

The previous prime is 53011031. The next prime is 53011039.

It is a happy number.

53011035 is nontrivially palindromic in base 10.

53011035 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 (53011031) and next prime (53011039).

It is not a de Polignac number, because 53011035 - 22 = 53011031 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 53010999 and 53011017.

It is not an unprimeable number, because it can be changed into a prime (53011031) 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 47 ways as a sum of consecutive naturals, for example, 4185 + ... + 11114.

It is an arithmetic number, because the mean of its divisors is an integer number (2386800).

Almost surely, 253011035 is an apocalyptic number.

53011035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53011035 is an abundant number, since it is smaller than the sum of its proper divisors (61555365).

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

53011035 is a wasteful number, since it uses less digits than its factorization.

53011035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15328 (or 15325 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 53011035 is about 7280.8677367468. The cubic root of 53011035 is about 375.6546431811.

It can be divided in two parts, 5301 and 1035, that added together give a palindrome (6336).

The spelling of 53011035 in words is "fifty-three million, eleven thousand, thirty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 15299 45897 76495 107093 137691 168289 229485 321279 504867 535465 688455 841445 963837 1178023 1514601 1606395 2524335 3534069 4819185 5890115 7573005 10602207 17670345 53011035