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495126135 = 3357229289
BaseRepresentation
bin11101100000110…
…000011001110111
31021111200000101000
4131200300121313
52003223014020
6121044134343
715161334300
oct3540603167
91244600330
10495126135
11234538659
121199973b3
137b76985a
1449a877a7
152d704090
hex1d830677

495126135 has 144 divisors (see below), whose sum is σ = 1072375200. Its totient is φ = 216082944.

The previous prime is 495126133. The next prime is 495126157. The reversal of 495126135 is 531621594.

495126135 is a `hidden beast` number, since 4 + 9 + 512 + 6 + 135 = 666.

It is not a de Polignac number, because 495126135 - 21 = 495126133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 495126135.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495126133) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5563171 + ... + 5563259.

It is an arithmetic number, because the mean of its divisors is an integer number (7447050).

Almost surely, 2495126135 is an apocalyptic number.

495126135 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

495126135 is an abundant number, since it is smaller than the sum of its proper divisors (577249065).

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

495126135 is a wasteful number, since it uses less digits than its factorization.

495126135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 133 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 495126135 is about 22251.4299540501. The cubic root of 495126135 is about 791.1131746071.

The spelling of 495126135 in words is "four hundred ninety-five million, one hundred twenty-six thousand, one hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 27 29 35 45 49 63 87 89 105 135 145 147 189 203 245 261 267 315 435 441 445 609 623 735 783 801 841 945 1015 1305 1323 1335 1421 1827 1869 2205 2403 2523 2581 3045 3115 3915 4005 4205 4263 4361 5481 5607 5887 6615 7105 7569 7743 9135 9345 12015 12615 12789 12905 13083 16821 17661 18067 21315 21805 22707 23229 27405 28035 29435 37845 38367 38715 39249 41209 52983 54201 63945 65415 69687 74849 84105 88305 90335 113535 116145 117747 123627 126469 158949 162603 191835 196245 206045 224547 264915 271005 348435 370881 374245 379407 487809 523943 588735 618135 632345 673641 794745 813015 1112643 1122735 1138221 1571829 1854405 1897035 2020923 2439045 2619715 3368205 3414663 3667601 4715487 5563215 5691105 7859145 10104615 11002803 14146461 17073315 18338005 23577435 33008409 55014015 70732305 99025227 165042045 495126135