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40935375 = 345313311
BaseRepresentation
bin1001110000100…
…1111111001111
32212000201210000
42130021333033
540434413000
64021215343
71004642055
oct234117717
985021700
1040935375
112111a398
1211861553
138633520
1456181d5
1538d9000
hex2709fcf

40935375 has 80 divisors (see below), whose sum is σ = 82450368. Its totient is φ = 20088000.

The previous prime is 40935373. The next prime is 40935379. The reversal of 40935375 is 57353904.

It is not a de Polignac number, because 40935375 - 21 = 40935373 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 (40935373) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 131470 + ... + 131780.

Almost surely, 240935375 is an apocalyptic number.

40935375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40935375 is an abundant number, since it is smaller than the sum of its proper divisors (41514993).

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

40935375 is a wasteful number, since it uses less digits than its factorization.

40935375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 40935375 is about 6398.0758826385. The cubic root of 40935375 is about 344.6404571896.

The spelling of 40935375 in words is "forty million, nine hundred thirty-five thousand, three hundred seventy-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 125 135 195 225 311 325 351 375 405 585 675 933 975 1053 1125 1555 1625 1755 2025 2799 2925 3375 4043 4665 4875 5265 7775 8397 8775 10125 12129 13995 14625 20215 23325 25191 26325 36387 38875 41985 43875 60645 69975 101075 109161 116625 125955 131625 181935 209925 303225 327483 349875 505375 545805 629775 909675 1049625 1516125 1637415 2729025 3148875 4548375 8187075 13645125 40935375