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495946368 = 2733143503
BaseRepresentation
bin11101100011111…
…000101010000000
31021120012200112000
4131203320222000
52003430240433
6121113504000
715201321531
oct3543705200
91246180460
10495946368
11234a48935
1211a112000
137b995cb8
1449c1c688
152d817113
hex1d8f8a80

495946368 has 64 divisors (see below), whose sum is σ = 1463740800. Its totient is φ = 165314304.

The previous prime is 495946361. The next prime is 495946369. The reversal of 495946368 is 863649594.

495946368 is a `hidden beast` number, since 49 + 594 + 6 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

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

It is not an unprimeable number, because it can be changed into a prime (495946361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68296 + ... + 75207.

It is an arithmetic number, because the mean of its divisors is an integer number (22870950).

Almost surely, 2495946368 is an apocalyptic number.

495946368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

495946368 is an abundant number, since it is smaller than the sum of its proper divisors (967794432).

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

495946368 is a wasteful number, since it uses less digits than its factorization.

495946368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143526 (or 143508 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 495946368 is about 22269.8533448247. The cubic root of 495946368 is about 791.5497900417.

The spelling of 495946368 in words is "four hundred ninety-five million, nine hundred forty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 143503 287006 430509 574012 861018 1148024 1291527 1722036 2296048 2583054 3444072 3874581 4592096 5166108 6888144 7749162 9184192 10332216 13776288 15498324 18368384 20664432 27552576 30996648 41328864 55105152 61993296 82657728 123986592 165315456 247973184 495946368