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927416001 = 3615067847
BaseRepresentation
bin110111010001110…
…011111011000001
32101122002121120210
4313101303323001
53344404303001
6232005424333
731660622511
oct6721637301
92348077523
10927416001
11436558406
1221a70b0a9
1311a1a5485
148b255841
1556644dd6
hex37473ec1

927416001 has 8 divisors (see below), whose sum is σ = 1256826304. Its totient is φ = 608141520.

The previous prime is 927415999. The next prime is 927416003. The reversal of 927416001 is 100614729.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (927415999) and next prime (927416003).

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

It is not a de Polignac number, because 927416001 - 21 = 927415999 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 927416001.

It is not an unprimeable number, because it can be changed into a prime (927416003) 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 7 ways as a sum of consecutive naturals, for example, 2533741 + ... + 2534106.

It is an arithmetic number, because the mean of its divisors is an integer number (157103288).

Almost surely, 2927416001 is an apocalyptic number.

It is an amenable number.

927416001 is a deficient number, since it is larger than the sum of its proper divisors (329410303).

927416001 is a wasteful number, since it uses less digits than its factorization.

927416001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067911.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 927416001 is about 30453.5055617576. The cubic root of 927416001 is about 975.1951399026.

The spelling of 927416001 in words is "nine hundred twenty-seven million, four hundred sixteen thousand, one".

Divisors: 1 3 61 183 5067847 15203541 309138667 927416001