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9028584001 = 137174137853
BaseRepresentation
bin10000110100010010…
…10100001001000001
3212022012212120220001
420122021110021001
5121442304142001
64051521520001
7436510461223
oct103211241101
925265776801
109028584001
113913444878
1218bb7a3001
13b0b67a8c8
14619136413
1537c976001
hex21a254241

9028584001 has 8 divisors (see below), whose sum is σ = 9099950184. Its totient is φ = 8957297280.

The previous prime is 9028583983. The next prime is 9028584017. The reversal of 9028584001 is 1004858209.

It can be written as a sum of positive squares in 4 ways, for example, as 783944001 + 8244640000 = 27999^2 + 90800^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 9028584001 - 219 = 9028059713 is a prime.

It is a super-2 number, since 2×90285840012 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9028584701) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 219591 + ... + 257443.

It is an arithmetic number, because the mean of its divisors is an integer number (1137493773).

Almost surely, 29028584001 is an apocalyptic number.

It is an amenable number.

9028584001 is a deficient number, since it is larger than the sum of its proper divisors (71366183).

9028584001 is a wasteful number, since it uses less digits than its factorization.

9028584001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39731.

The product of its (nonzero) digits is 23040, while the sum is 37.

The square root of 9028584001 is about 95018.8612907985. The cubic root of 9028584001 is about 2082.2836113347.

The spelling of 9028584001 in words is "nine billion, twenty-eight million, five hundred eighty-four thousand, one".

Divisors: 1 137 1741 37853 238517 5185861 65902073 9028584001