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39141468 = 223631433
BaseRepresentation
bin1001010101010…
…0000001011100
32201122121000000
42111110001130
540010011333
63514534300
7653461032
oct225240134
981577000
1039141468
1120104623
1211137390
138155b42
1452ac552
153682713
hex255405c

39141468 has 84 divisors (see below), whose sum is σ = 106257088. Its totient is φ = 12597120.

The previous prime is 39141461. The next prime is 39141491. The reversal of 39141468 is 86414193.

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 Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39141461) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 90180 + ... + 90612.

Almost surely, 239141468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39141468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53128544).

39141468 is an abundant number, since it is smaller than the sum of its proper divisors (67115620).

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

39141468 is a wasteful number, since it uses less digits than its factorization.

39141468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 469 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 39141468 is about 6256.3142504193. The cubic root of 39141468 is about 339.5306904466.

The spelling of 39141468 in words is "thirty-nine million, one hundred forty-one thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 433 486 558 729 837 866 972 1116 1299 1458 1674 1732 2511 2598 2916 3348 3897 5022 5196 7533 7794 10044 11691 13423 15066 15588 22599 23382 26846 30132 35073 40269 45198 46764 53692 70146 80538 90396 105219 120807 140292 161076 210438 241614 315657 362421 420876 483228 631314 724842 1087263 1262628 1449684 2174526 3261789 4349052 6523578 9785367 13047156 19570734 39141468