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40075875 = 325372727
BaseRepresentation
bin1001100011100…
…0001001100011
32210102001202200
42120320021203
540224412000
63550544243
7664432200
oct230701143
983361680
1040075875
1120692664
1211508083
1383c2248
145472ca7
1537b9500
hex2638263

40075875 has 72 divisors (see below), whose sum is σ = 84153888. Its totient is φ = 18295200.

The previous prime is 40075873. The next prime is 40075877. The reversal of 40075875 is 57857004.

It is an interprime number because it is at equal distance from previous prime (40075873) and next prime (40075877).

It is not a de Polignac number, because 40075875 - 21 = 40075873 is a prime.

It is a nialpdrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (40075873) 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 71 ways as a sum of consecutive naturals, for example, 54762 + ... + 55488.

It is an arithmetic number, because the mean of its divisors is an integer number (1168804).

Almost surely, 240075875 is an apocalyptic number.

40075875 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40075875 is an abundant number, since it is smaller than the sum of its proper divisors (44078013).

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

40075875 is a wasteful number, since it uses less digits than its factorization.

40075875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 40075875 is about 6330.5509238928. The cubic root of 40075875 is about 342.2112934603.

The spelling of 40075875 in words is "forty million, seventy-five thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 125 147 175 225 245 315 375 441 525 727 735 875 1125 1225 1575 2181 2205 2625 3635 3675 5089 6125 6543 7875 10905 11025 15267 18175 18375 25445 32715 35623 45801 54525 55125 76335 90875 106869 127225 163575 178115 229005 272625 320607 381675 534345 636125 817875 890575 1145025 1603035 1908375 2671725 4452875 5725125 8015175 13358625 40075875