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40473225 = 325213101137
BaseRepresentation
bin1001101001100…
…1001010001001
32211011020211100
42122121022021
540330120400
64003252013
71001005512
oct232311211
984136740
1040473225
1120934151
121167a009
138501070
145537a09
153847100
hex2699289

40473225 has 72 divisors (see below), whose sum is σ = 79416792. Its totient is φ = 19584000.

The previous prime is 40473193. The next prime is 40473247. The reversal of 40473225 is 52237404.

It can be written as a sum of positive squares in 12 ways, for example, as 5934096 + 34539129 = 2436^2 + 5877^2 .

It is not a de Polignac number, because 40473225 - 25 = 40473193 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 295357 + ... + 295493.

It is an arithmetic number, because the mean of its divisors is an integer number (1103011).

Almost surely, 240473225 is an apocalyptic number.

40473225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40473225 is a deficient number, since it is larger than the sum of its proper divisors (38943567).

40473225 is a wasteful number, since it uses less digits than its factorization.

40473225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 40473225 is about 6361.8570402045. The cubic root of 40473225 is about 343.3385777521.

The spelling of 40473225 in words is "forty million, four hundred seventy-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 101 117 137 195 225 303 325 411 505 585 685 909 975 1233 1313 1515 1781 2055 2525 2925 3425 3939 4545 5343 6165 6565 7575 8905 10275 11817 13837 16029 19695 22725 26715 30825 32825 41511 44525 59085 69185 80145 98475 124533 133575 179881 207555 295425 345925 400725 539643 622665 899405 1037775 1618929 2698215 3113325 4497025 8094645 13491075 40473225