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1035488041 = 7245972
BaseRepresentation
bin111101101110000…
…100101100101001
32200011110020112221
4331232010230221
54110041104131
6250430034041
734442334400
oct7556045451
92604406487
101035488041
11491562545
1224a948921
131366b4123
149b748637
1560d91411
hex3db84b29

1035488041 has 9 divisors (see below), whose sum is σ = 1204809399. Its totient is φ = 887368104.

The previous prime is 1035488029. The next prime is 1035488053. The reversal of 1035488041 is 1408845301.

The square root of 1035488041 is 32179.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1035488029) and next prime (1035488053).

It can be written as a sum of positive squares in only one way, i.e., 74736025 + 960752016 = 8645^2 + 30996^2 .

It is not a de Polignac number, because 1035488041 - 27 = 1035487913 is a prime.

It is a super-3 number, since 3×10354880413 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1035487988 and 1035488006.

It is not an unprimeable number, because it can be changed into a prime (1035488081) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 222955 + ... + 227551.

It is an arithmetic number, because the mean of its divisors is an integer number (133867711).

Almost surely, 21035488041 is an apocalyptic number.

1035488041 is the 32179-th square number.

1035488041 is the 16090-th centered octagonal number.

It is an amenable number.

1035488041 is a deficient number, since it is larger than the sum of its proper divisors (169321358).

1035488041 is an frugal number, since it uses more digits than its factorization.

1035488041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9208 (or 4604 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The cubic root of 1035488041 is about 1011.6921088003.

The spelling of 1035488041 in words is "one billion, thirty-five million, four hundred eighty-eight thousand, forty-one".

Divisors: 1 7 49 4597 32179 225253 21132409 147926863 1035488041