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28922985 = 32572131009
BaseRepresentation
bin110111001010…
…1010001101001
32000102102212200
41232111101221
524401013420
62511530413
7500561400
oct156252151
960372780
1028922985
11153652a3
129829a09
135cb89c0
143bac637
152814b90
hex1b95469

28922985 has 72 divisors (see below), whose sum is σ = 62866440. Its totient is φ = 12192768.

The previous prime is 28922977. The next prime is 28922987. The reversal of 28922985 is 58922982.

It can be written as a sum of positive squares in 4 ways, for example, as 21609 + 28901376 = 147^2 + 5376^2 .

It is not a de Polignac number, because 28922985 - 23 = 28922977 is a prime.

It is a super-2 number, since 2×289229852 = 1673078122620450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 28922985.

It is not an unprimeable number, because it can be changed into a prime (28922987) 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 71 ways as a sum of consecutive naturals, for example, 28161 + ... + 29169.

It is an arithmetic number, because the mean of its divisors is an integer number (873145).

Almost surely, 228922985 is an apocalyptic number.

It is an amenable number.

28922985 is an abundant number, since it is smaller than the sum of its proper divisors (33943455).

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

28922985 is a wasteful number, since it uses less digits than its factorization.

28922985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1037 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 28922985 is about 5378.0093900996. The cubic root of 28922985 is about 306.9594707891.

The spelling of 28922985 in words is "twenty-eight million, nine hundred twenty-two thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 49 63 65 91 105 117 147 195 245 273 315 441 455 585 637 735 819 1009 1365 1911 2205 3027 3185 4095 5045 5733 7063 9081 9555 13117 15135 21189 28665 35315 39351 45405 49441 63567 65585 91819 105945 118053 148323 196755 247205 275457 317835 444969 459095 590265 642733 741615 826371 1377285 1928199 2224845 3213665 4131855 5784597 9640995 28922985