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492927480 = 233251369243
BaseRepresentation
bin11101011000010…
…111100111111000
31021100112022101100
4131120113213320
52002142134410
6120525051400
715133546233
oct3530274770
91240468340
10492927480
11233276791
121190b6b60
137b179b86
144967441a
152d41c8c0
hex1d6179f8

492927480 has 48 divisors (see below), whose sum is σ = 1602015480. Its totient is φ = 131447232.

The previous prime is 492927473. The next prime is 492927481. The reversal of 492927480 is 84729294.

492927480 is a `hidden beast` number, since 492 + 92 + 74 + 8 + 0 = 666.

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (492927481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 684262 + ... + 684981.

Almost surely, 2492927480 is an apocalyptic number.

492927480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492927480 is an abundant number, since it is smaller than the sum of its proper divisors (1109088000).

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

492927480 is a wasteful number, since it uses less digits than its factorization.

492927480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369260 (or 1369253 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 492927480 is about 22201.9701828464. The cubic root of 492927480 is about 789.9404324044.

The spelling of 492927480 in words is "four hundred ninety-two million, nine hundred twenty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1369243 2738486 4107729 5476972 6846215 8215458 10953944 12323187 13692430 16430916 20538645 24646374 27384860 32861832 41077290 49292748 54769720 61615935 82154580 98585496 123231870 164309160 246463740 492927480