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495294975 = 325271072939
BaseRepresentation
bin11101100001011…
…001100111111111
31021111222120222100
4131201121213333
52003243414400
6121051520143
715162636450
oct3541314777
91244876870
10495294975
1123464349a
12119a59053
137b7c8666
1449acd127
152d739100
hex1d8599ff

495294975 has 72 divisors (see below), whose sum is σ = 1023684480. Its totient is φ = 224228160.

The previous prime is 495294953. The next prime is 495294979. The reversal of 495294975 is 579492594.

495294975 is a `hidden beast` number, since 4 + 9 + 529 + 49 + 75 = 666.

It is not a de Polignac number, because 495294975 - 29 = 495294463 is a prime.

It is a super-2 number, since 2×4952949752 = 490634224520501250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (495294979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167056 + ... + 169994.

It is an arithmetic number, because the mean of its divisors is an integer number (14217840).

Almost surely, 2495294975 is an apocalyptic number.

495294975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

495294975 is an abundant number, since it is smaller than the sum of its proper divisors (528389505).

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

495294975 is a wasteful number, since it uses less digits than its factorization.

495294975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3061 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 495294975 is about 22255.2235441480. The cubic root of 495294975 is about 791.2030886438.

The spelling of 495294975 in words is "four hundred ninety-five million, two hundred ninety-four thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 107 175 225 315 321 525 535 749 963 1575 1605 2247 2675 2939 3745 4815 6741 8025 8817 11235 14695 18725 20573 24075 26451 33705 44085 56175 61719 73475 102865 132255 168525 185157 220425 308595 314473 514325 661275 925785 943419 1542975 1572365 2201311 2830257 4628925 4717095 6603933 7861825 11006555 14151285 19811799 23585475 33019665 55032775 70756425 99058995 165098325 495294975