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3876075 = 3252723107
BaseRepresentation
bin1110110010010011101011
321021220222100
432302103223
51443013300
6215024443
744642340
oct16622353
97256870
103876075
112208175
12136b123
13a59348
1472c7c7
15518700
hex3b24eb

3876075 has 72 divisors (see below), whose sum is σ = 8356608. Its totient is φ = 1679040.

The previous prime is 3876073. The next prime is 3876079. The reversal of 3876075 is 5706783.

It is not a de Polignac number, because 3876075 - 21 = 3876073 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3876073) 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, 36172 + ... + 36278.

It is an arithmetic number, because the mean of its divisors is an integer number (116064).

Almost surely, 23876075 is an apocalyptic number.

3876075 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

3876075 is an abundant number, since it is smaller than the sum of its proper divisors (4480533).

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

3876075 is a wasteful number, since it uses less digits than its factorization.

3876075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3876075 is about 1968.7749998413. The cubic root of 3876075 is about 157.0835559399.

The spelling of 3876075 in words is "three million, eight hundred seventy-six thousand, seventy-five".

Divisors: 1 3 5 7 9 15 21 23 25 35 45 63 69 75 105 107 115 161 175 207 225 315 321 345 483 525 535 575 749 805 963 1035 1449 1575 1605 1725 2247 2415 2461 2675 3745 4025 4815 5175 6741 7245 7383 8025 11235 12075 12305 17227 18725 22149 24075 33705 36225 36915 51681 56175 61525 86135 110745 155043 168525 184575 258405 430675 553725 775215 1292025 3876075