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1004290641 = 32611829309
BaseRepresentation
bin111011110111000…
…100001001010001
32120222202020202200
4323313010021101
54024044300031
6243353233413
733613221024
oct7367041121
92528666680
101004290641
11475994472
12240402869
131300b0123
14975471bb
155d27c8e6
hex3bdc4251

1004290641 has 12 divisors (see below), whose sum is σ = 1474423860. Its totient is φ = 658550880.

The previous prime is 1004290633. The next prime is 1004290643. The reversal of 1004290641 is 1460924001.

1004290641 is a `hidden beast` number, since 10 + 0 + 4 + 2 + 9 + 0 + 641 = 666.

1004290641 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 282240000 + 722050641 = 16800^2 + 26871^2 .

It is not a de Polignac number, because 1004290641 - 23 = 1004290633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1004290643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 914106 + ... + 915203.

It is an arithmetic number, because the mean of its divisors is an integer number (122868655).

Almost surely, 21004290641 is an apocalyptic number.

It is an amenable number.

1004290641 is a deficient number, since it is larger than the sum of its proper divisors (470133219).

1004290641 is a wasteful number, since it uses less digits than its factorization.

1004290641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829376 (or 1829373 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1004290641 is about 31690.5449779583. The cubic root of 1004290641 is about 1001.4281730175.

The spelling of 1004290641 in words is "one billion, four million, two hundred ninety thousand, six hundred forty-one".

Divisors: 1 3 9 61 183 549 1829309 5487927 16463781 111587849 334763547 1004290641