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987907761 = 32104772
BaseRepresentation
bin111010111000100…
…100011010110001
32112211220220200100
4322320210122301
54010401022021
6242010143013
733324035361
oct7270443261
92484826610
10987907761
114677147a5
12236a21a69
13129895209
14952c09a1
155bae3626
hex3ae246b1

987907761 has 9 divisors (see below), whose sum is σ = 1427114091. Its totient is φ = 658542312.

The previous prime is 987907747. The next prime is 987907769. The reversal of 987907761 is 167709789.

The square root of 987907761 is 31431.

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

987907761 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 only one way, i.e., 749390625 + 238517136 = 27375^2 + 15444^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 987907761 - 25 = 987907729 is a prime.

It is a super-3 number, since 3×9879077613 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 987907698 and 987907707.

It is not an unprimeable number, because it can be changed into a prime (987907769) 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, 89055 + ... + 99531.

Almost surely, 2987907761 is an apocalyptic number.

987907761 is the 31431-st square number.

987907761 is the 15716-th centered octagonal number.

It is an amenable number.

987907761 is a deficient number, since it is larger than the sum of its proper divisors (439206330).

987907761 is an frugal number, since it uses more digits than its factorization.

987907761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20960 (or 10480 counting only the distinct ones).

The product of its (nonzero) digits is 1333584, while the sum is 54.

The cubic root of 987907761 is about 995.9528967176.

The spelling of 987907761 in words is "nine hundred eighty-seven million, nine hundred seven thousand, seven hundred sixty-one".

Divisors: 1 3 9 10477 31431 94293 109767529 329302587 987907761