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53022627 = 337472127
BaseRepresentation
bin1100101001000…
…0111110100011
310200202211101000
43022100332203
5102033211002
65132243043
71212453630
oct312207643
9120684330
1053022627
1127a25759
1215910483
13aca6148
147083187
1549c561c
hex3290fa3

53022627 has 48 divisors (see below), whose sum is σ = 92446720. Its totient is φ = 29420496.

The previous prime is 53022623. The next prime is 53022637. The reversal of 53022627 is 72622035.

53022627 is a `hidden beast` number, since 5 + 30 + 2 + 2 + 627 = 666.

53022627 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 53022627 - 22 = 53022623 is a prime.

It is a super-2 number, since 2×530226272 = 5622797947962258, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 53022627.

It is not an unprimeable number, because it can be changed into a prime (53022623) 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, 417438 + ... + 417564.

Almost surely, 253022627 is an apocalyptic number.

53022627 is a deficient number, since it is larger than the sum of its proper divisors (39424093).

53022627 is a wasteful number, since it uses less digits than its factorization.

53022627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 53022627 is about 7281.6637521929. The cubic root of 53022627 is about 375.6820228343.

The spelling of 53022627 in words is "fifty-three million, twenty-two thousand, six hundred twenty-seven".

Divisors: 1 3 7 9 21 27 47 63 127 141 189 329 381 423 889 987 1143 1269 2209 2667 2961 3429 5969 6627 8001 8883 15463 17907 19881 24003 41783 46389 53721 59643 125349 139167 161163 280543 376047 417501 841629 1128141 1963801 2524887 5891403 7574661 17674209 53022627