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492749280 = 25325342187
BaseRepresentation
bin11101010111101…
…100000111100000
31021100012020221100
4131113230013200
52002120434110
6120521154400
715132204552
oct3527540740
91240166840
10492749280
11233164911
1211902ba00
137b116a2a
14496294d2
152d3d4bc0
hex1d5ec1e0

492749280 has 72 divisors (see below), whose sum is σ = 1681511832. Its totient is φ = 131399424.

The previous prime is 492749251. The next prime is 492749281. The reversal of 492749280 is 82947294.

492749280 is a `hidden beast` number, since 492 + 74 + 92 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 (492749281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 169654 + ... + 172533.

It is an arithmetic number, because the mean of its divisors is an integer number (23354331).

Almost surely, 2492749280 is an apocalyptic number.

492749280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

492749280 is an abundant number, since it is smaller than the sum of its proper divisors (1188762552).

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

492749280 is a wasteful number, since it uses less digits than its factorization.

492749280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342208 (or 342197 counting only the distinct ones).

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

The square root of 492749280 is about 22197.9566627201. The cubic root of 492749280 is about 789.8452295214.

The spelling of 492749280 in words is "four hundred ninety-two million, seven hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 342187 684374 1026561 1368748 1710935 2053122 2737496 3079683 3421870 4106244 5132805 5474992 6159366 6843740 8212488 10265610 10949984 12318732 13687480 15398415 16424976 20531220 24637464 27374960 30796830 32849952 41062440 49274928 54749920 61593660 82124880 98549856 123187320 164249760 246374640 492749280