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988316407 = 131910936709
BaseRepresentation
bin111010111010001…
…000001011110111
32112212200200020101
4322322020023313
54011002111112
6242023014531
733330356641
oct7272101367
92485620211
10988316407
11467973821
12236b9a447
131299a9210
1495389891
155bb74757
hex3ae882f7

988316407 has 16 divisors (see below), whose sum is σ = 1130668000. Its totient is φ = 856324224.

The previous prime is 988316401. The next prime is 988316443. The reversal of 988316407 is 704613889.

It is a happy number.

It is not a de Polignac number, because 988316407 - 219 = 987792119 is a prime.

It is the 31438-th Hogben number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988316401) by changing a digit.

It is a nontrivial repunit in base 31437.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8569 + ... + 45277.

It is an arithmetic number, because the mean of its divisors is an integer number (70666750).

Almost surely, 2988316407 is an apocalyptic number.

988316407 is a deficient number, since it is larger than the sum of its proper divisors (142351593).

988316407 is a wasteful number, since it uses less digits than its factorization.

988316407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36850.

The product of its (nonzero) digits is 290304, while the sum is 46.

The square root of 988316407 is about 31437.5000119284. The cubic root of 988316407 is about 996.0902024052.

The spelling of 988316407 in words is "nine hundred eighty-eight million, three hundred sixteen thousand, four hundred seven".

Divisors: 1 13 19 109 247 1417 2071 26923 36709 477217 697471 4001281 9067123 52016653 76024339 988316407