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495666378 = 23431229431
BaseRepresentation
bin11101100010110…
…100010011001010
31021112200110110000
4131202310103022
52003342311003
6121103503430
715166044324
oct3542642312
91245613400
10495666378
11234877539
12119bb7b76
137b8c871c
1449b88614
152d7ae1a3
hex1d8b44ca

495666378 has 80 divisors (see below), whose sum is σ = 1154165760. Its totient is φ = 158824800.

The previous prime is 495666373. The next prime is 495666401. The reversal of 495666378 is 873666594.

It is a super-3 number, since 3×4956663783 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (495666373) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1149823 + ... + 1150253.

It is an arithmetic number, because the mean of its divisors is an integer number (14427072).

Almost surely, 2495666378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495666378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577082880).

495666378 is an abundant number, since it is smaller than the sum of its proper divisors (658499382).

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

495666378 is a wasteful number, since it uses less digits than its factorization.

495666378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705 (or 696 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 495666378 is about 22263.5661563910. The cubic root of 495666378 is about 791.4008036728.

The spelling of 495666378 in words is "four hundred ninety-five million, six hundred sixty-six thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 229 279 431 458 558 687 837 862 1293 1374 1674 2061 2511 2586 3879 4122 5022 6183 7099 7758 11637 12366 13361 14198 18549 21297 23274 26722 34911 37098 40083 42594 63891 69822 80166 98699 120249 127782 191673 197398 240498 296097 360747 383346 575019 592194 721494 888291 1082241 1150038 1776582 2164482 2664873 3059669 5329746 6119338 7994619 9179007 15989238 18358014 27537021 55074042 82611063 165222126 247833189 495666378