Search a number
-
+
53520075 = 3352747241
BaseRepresentation
bin1100110000101…
…0011011001011
310201201002202000
43030022123023
5102200120300
65151042043
71216625130
oct314123313
9121632660
1053520075
1128235474
1215b10323
13b11b6ab
147172587
154a72c00
hex330a6cb

53520075 has 96 divisors (see below), whose sum is σ = 115230720. Its totient is φ = 23846400.

The previous prime is 53520067. The next prime is 53520083. The reversal of 53520075 is 57002535.

53520075 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 (53520067) and next prime (53520083).

It is not a de Polignac number, because 53520075 - 23 = 53520067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 221955 + ... + 222195.

It is an arithmetic number, because the mean of its divisors is an integer number (1200320).

Almost surely, 253520075 is an apocalyptic number.

53520075 is an abundant number, since it is smaller than the sum of its proper divisors (61710645).

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

53520075 is a wasteful number, since it uses less digits than its factorization.

53520075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 27.

The square root of 53520075 is about 7315.7415892034. The cubic root of 53520075 is about 376.8532263850.

The spelling of 53520075 in words is "fifty-three million, five hundred twenty thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 47 63 75 105 135 141 175 189 225 235 241 315 329 423 525 675 705 723 945 987 1175 1205 1269 1575 1645 1687 2115 2169 2961 3525 3615 4725 4935 5061 6025 6345 6507 8225 8435 8883 10575 10845 11327 14805 15183 18075 24675 25305 31725 32535 33981 42175 44415 45549 54225 56635 74025 75915 79289 101943 126525 162675 169905 222075 227745 237867 283175 305829 379575 396445 509715 713601 849525 1138725 1189335 1529145 1982225 2140803 2548575 3568005 5946675 7645725 10704015 17840025 53520075