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45975105 = 32511131709
BaseRepresentation
bin1010111101100…
…0011001000001
310012111202222200
42233120121001
543232200410
64321223413
71065532131
oct257303101
9105452880
1045975105
1123a51860
1213491b69
1396a9407
14616aac1
1540823c0
hex2bd8641

45975105 has 48 divisors (see below), whose sum is σ = 87721920. Its totient is φ = 22089600.

The previous prime is 45975103. The next prime is 45975107. The reversal of 45975105 is 50157954.

It is an interprime number because it is at equal distance from previous prime (45975103) and next prime (45975107).

It is not a de Polignac number, because 45975105 - 21 = 45975103 is a prime.

It is a super-2 number, since 2×459751052 = 4227420559522050, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45975105.

It is not an unprimeable number, because it can be changed into a prime (45975103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64491 + ... + 65199.

It is an arithmetic number, because the mean of its divisors is an integer number (1827540).

Almost surely, 245975105 is an apocalyptic number.

45975105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45975105 is a deficient number, since it is larger than the sum of its proper divisors (41746815).

45975105 is a wasteful number, since it uses less digits than its factorization.

45975105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 45975105 is about 6780.4944509969. The cubic root of 45975105 is about 358.2401377732.

The spelling of 45975105 in words is "forty-five million, nine hundred seventy-five thousand, one hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 131 165 393 495 655 709 1179 1441 1965 2127 3545 4323 5895 6381 7205 7799 10635 12969 21615 23397 31905 38995 64845 70191 92879 116985 278637 350955 464395 835911 1021669 1393185 3065007 4179555 5108345 9195021 15325035 45975105