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986400037 = 72101199313
BaseRepresentation
bin111010110010110…
…100010100100101
32112202002022110201
4322302310110211
54010004300122
6241513550501
733305155600
oct7262642445
92482068421
10986400037
11466884a47
12236415431
13129487b7c
149500b337
155b8e6a27
hex3acb4525

986400037 has 12 divisors (see below), whose sum is σ = 1158811596. Its totient is φ = 837110400.

The previous prime is 986400007. The next prime is 986400043. The reversal of 986400037 is 730004689.

986400037 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 845123041 + 141276996 = 29071^2 + 11886^2 .

It is a de Polignac number, because none of the positive numbers 2k-986400037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 986399969 and 986400005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (986400007) 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, 94708 + ... + 104605.

It is an arithmetic number, because the mean of its divisors is an integer number (96567633).

Almost surely, 2986400037 is an apocalyptic number.

It is an amenable number.

986400037 is a deficient number, since it is larger than the sum of its proper divisors (172411559).

986400037 is a wasteful number, since it uses less digits than its factorization.

986400037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199428 (or 199421 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 986400037 is about 31407.0061769663. The cubic root of 986400037 is about 995.4459713049.

The spelling of 986400037 in words is "nine hundred eighty-six million, four hundred thousand, thirty-seven".

Divisors: 1 7 49 101 707 4949 199313 1395191 9766337 20130613 140914291 986400037