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987782041 = 5325932
BaseRepresentation
bin111010111000000…
…101101110011001
32112211200112020001
4322320011232121
54010333011131
6242003333001
733323003011
oct7270055631
92484615201
10987782041
114676392a4
12236981161
1312984cc1c
149528ac41
155babb261
hex3ae05b99

987782041 has 9 divisors (see below), whose sum is σ = 1008471709. Its totient is φ = 967510336.

The previous prime is 987782023. The next prime is 987782057. The reversal of 987782041 is 140287789.

The square root of 987782041 is 31429.

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

It can be written as a sum of positive squares in 4 ways, for example, as 112805641 + 874976400 = 10621^2 + 29580^2 .

It is not a de Polignac number, because 987782041 - 25 = 987782009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 987781982 and 987782000.

It is not an unprimeable number, because it can be changed into a prime (987782011) 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, 1665441 + ... + 1666033.

Almost surely, 2987782041 is an apocalyptic number.

987782041 is the 31429-th square number.

987782041 is the 15715-th centered octagonal number.

It is an amenable number.

987782041 is a deficient number, since it is larger than the sum of its proper divisors (20689668).

987782041 is an frugal number, since it uses more digits than its factorization.

987782041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 46.

The cubic root of 987782041 is about 995.9106469871.

The spelling of 987782041 in words is "nine hundred eighty-seven million, seven hundred eighty-two thousand, forty-one".

Divisors: 1 53 593 2809 31429 351649 1665737 18637397 987782041