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53006993 = 13311031277
BaseRepresentation
bin1100101000110…
…1001010010001
310200202000220222
43022031022101
5102032210433
65132042425
71212360224
oct312151221
9120660828
1053006993
1127a14a36
1215903415
13ac9bcb0
14707b5bb
1549c0b98
hex328d291

53006993 has 16 divisors (see below), whose sum is σ = 59544576. Its totient is φ = 46854720.

The previous prime is 53006981. The next prime is 53006999. The reversal of 53006993 is 39960035.

It is a cyclic number.

It is not a de Polignac number, because 53006993 - 212 = 53002897 is a prime.

53006993 is a modest number, since divided by 6993 gives 53 as remainder.

It is not an unprimeable number, because it can be changed into a prime (53006999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40871 + ... + 42147.

It is an arithmetic number, because the mean of its divisors is an integer number (3721536).

Almost surely, 253006993 is an apocalyptic number.

It is an amenable number.

53006993 is a deficient number, since it is larger than the sum of its proper divisors (6537583).

53006993 is a wasteful number, since it uses less digits than its factorization.

53006993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1424.

The product of its (nonzero) digits is 21870, while the sum is 35.

The square root of 53006993 is about 7280.5901546509. The cubic root of 53006993 is about 375.6450952656.

The spelling of 53006993 in words is "fifty-three million, six thousand, nine hundred ninety-three".

Divisors: 1 13 31 103 403 1277 1339 3193 16601 39587 41509 131531 514631 1709903 4077461 53006993