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387795105 = 32529297161
BaseRepresentation
bin10111000111010…
…100100010100001
31000000201000212200
4113013110202201
51243233420410
6102251443413
712416126655
oct2707244241
91000630780
10387795105
1118999a225
12a9a56569
136245a279
1439708a65
15240a23c0
hex171d48a1

387795105 has 24 divisors (see below), whose sum is σ = 695359080. Its totient is φ = 199691520.

The previous prime is 387795101. The next prime is 387795139. The reversal of 387795105 is 501597783.

It can be written as a sum of positive squares in 4 ways, for example, as 146676321 + 241118784 = 12111^2 + 15528^2 .

It is not a de Polignac number, because 387795105 - 22 = 387795101 is a prime.

It is a super-2 number, since 2×3877951052 = 300770086923922050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (387795101) 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 23 ways as a sum of consecutive naturals, for example, 147276 + ... + 149885.

It is an arithmetic number, because the mean of its divisors is an integer number (28973295).

Almost surely, 2387795105 is an apocalyptic number.

It is an amenable number.

387795105 is a deficient number, since it is larger than the sum of its proper divisors (307563975).

387795105 is a wasteful number, since it uses less digits than its factorization.

387795105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297201 (or 297198 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 387795105 is about 19692.5139329645. The cubic root of 387795105 is about 729.2348930047.

The spelling of 387795105 in words is "three hundred eighty-seven million, seven hundred ninety-five thousand, one hundred five".

Divisors: 1 3 5 9 15 29 45 87 145 261 435 1305 297161 891483 1485805 2674449 4457415 8617669 13372245 25853007 43088345 77559021 129265035 387795105