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1004470506 = 2321329148021
BaseRepresentation
bin111011110111110…
…000000011101010
32121000002101111100
4323313300003222
54024121024011
6243401142230
733614600304
oct7367600352
92530071440
101004470506
11475aa7616
1224048a976
13130143c60
1497592974
155d2b5d56
hex3bdf00ea

1004470506 has 48 divisors (see below), whose sum is σ = 2424600360. Its totient is φ = 298408320.

The previous prime is 1004470471. The next prime is 1004470507. The reversal of 1004470506 is 6050744001.

It can be written as a sum of positive squares in 4 ways, for example, as 845937225 + 158533281 = 29085^2 + 12591^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1004470506.

It is not an unprimeable number, because it can be changed into a prime (1004470507) 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 23 ways as a sum of consecutive naturals, for example, 67225 + ... + 80796.

Almost surely, 21004470506 is an apocalyptic number.

1004470506 is an abundant number, since it is smaller than the sum of its proper divisors (1420129854).

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

1004470506 is a wasteful number, since it uses less digits than its factorization.

1004470506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148071 (or 148068 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1004470506 is about 31693.3826847183. The cubic root of 1004470506 is about 1001.4879535627.

The spelling of 1004470506 in words is "one billion, four million, four hundred seventy thousand, five hundred six".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 148021 296042 444063 888126 1332189 1924273 2664378 3848546 4292609 5772819 8585218 11545638 12877827 17318457 25755654 34636914 38633481 55803917 77266962 111607834 167411751 334823502 502235253 1004470506