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40359375 = 3256741
BaseRepresentation
bin1001100111110…
…1010111001111
32210221110122200
42121331113033
540313000000
64001012543
71000022550
oct231752717
983843580
1040359375
1120866661
1211624153
1384912b4
145508327
153823500
hex267d5cf

40359375 has 84 divisors (see below), whose sum is σ = 85311408. Its totient is φ = 18000000.

The previous prime is 40359373. The next prime is 40359383. The reversal of 40359375 is 57395304.

It is not a de Polignac number, because 40359375 - 21 = 40359373 is a prime.

It is a super-3 number, since 3×403593753 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40359373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 984355 + ... + 984395.

It is an arithmetic number, because the mean of its divisors is an integer number (1015612).

It is a vampire number, since it can be written as 43059375 (with its own digits).

Almost surely, 240359375 is an apocalyptic number.

40359375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40359375 is an abundant number, since it is smaller than the sum of its proper divisors (44952033).

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

40359375 is an frugal number, since it uses more digits than its factorization.

40359375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 56 counting only the distinct ones).

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

The square root of 40359375 is about 6352.9028797865. The cubic root of 40359375 is about 343.0163416184.

The spelling of 40359375 in words is "forty million, three hundred fifty-nine thousand, three hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 41 45 63 75 105 123 125 175 205 225 287 315 369 375 525 615 625 861 875 1025 1125 1435 1575 1845 1875 2583 2625 3075 3125 4305 4375 5125 5625 7175 7875 9225 9375 12915 13125 15375 15625 21525 21875 25625 28125 35875 39375 46125 46875 64575 65625 76875 107625 109375 128125 140625 179375 196875 230625 322875 328125 384375 538125 640625 896875 984375 1153125 1614375 1921875 2690625 4484375 5765625 8071875 13453125 40359375