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53005095 = 32511138237
BaseRepresentation
bin1100101000110…
…0101100100111
310200201221022200
43022030230213
5102032130340
65132025543
71212351543
oct312145447
9120657280
1053005095
1127a13570
12159022b3
13ac9b180
14707aa23
1549c0330
hex328cb27

53005095 has 48 divisors (see below), whose sum is σ = 107950752. Its totient is φ = 23719680.

The previous prime is 53005091. The next prime is 53005097. The reversal of 53005095 is 59050035.

53005095 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 53005095 - 22 = 53005091 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53005091) 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, 2317 + ... + 10553.

It is an arithmetic number, because the mean of its divisors is an integer number (2248974).

Almost surely, 253005095 is an apocalyptic number.

53005095 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

53005095 is an abundant number, since it is smaller than the sum of its proper divisors (54945657).

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

53005095 is a wasteful number, since it uses less digits than its factorization.

53005095 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8272 (or 8269 counting only the distinct ones).

The product of its (nonzero) digits is 3375, while the sum is 27.

The square root of 53005095 is about 7280.4598069078. The cubic root of 53005095 is about 375.6406116879.

The spelling of 53005095 in words is "fifty-three million, five thousand, ninety-five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 495 585 715 1287 2145 6435 8237 24711 41185 74133 90607 107081 123555 271821 321243 370665 453035 535405 815463 963729 1177891 1359105 1606215 3533673 4077315 4818645 5889455 10601019 17668365 53005095