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1004928157 = 17565310457
BaseRepresentation
bin111011111001011…
…111110010011101
32121000221122021101
4323321133302131
54024230200112
6243415033101
733621514462
oct7371376235
92530848241
101004928157
1147628a442
1224066b791
1313027435c
1497671669
155d356757
hex3be5fc9d

1004928157 has 8 divisors (see below), whose sum is σ = 1064331576. Its totient is φ = 945556992.

The previous prime is 1004928149. The next prime is 1004928173. The reversal of 1004928157 is 7518294001.

It can be written as a sum of positive squares in 4 ways, for example, as 642825316 + 362102841 = 25354^2 + 19029^2 .

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 1004928157 - 23 = 1004928149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004928137) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90873 + ... + 101329.

It is an arithmetic number, because the mean of its divisors is an integer number (133041447).

Almost surely, 21004928157 is an apocalyptic number.

1004928157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1004928157 is a deficient number, since it is larger than the sum of its proper divisors (59403419).

1004928157 is a wasteful number, since it uses less digits than its factorization.

1004928157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16127.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 1004928157 is about 31700.6018397128. The cubic root of 1004928157 is about 1001.6400278383.

The spelling of 1004928157 in words is "one billion, four million, nine hundred twenty-eight thousand, one hundred fifty-seven".

Divisors: 1 17 5653 10457 96101 177769 59113421 1004928157