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997038 = 232741193
BaseRepresentation
bin11110011011010101110
31212122200100
43303122232
5223401123
633211530
711321550
oct3633256
91778610
10997038
116210a9
12400ba6
1328ba83
141bd4d0
1514a643
hexf36ae

997038 has 48 divisors (see below), whose sum is σ = 2542176. Its totient is φ = 276480.

The previous prime is 997037. The next prime is 997043. The reversal of 997038 is 830799.

It is a junction number, because it is equal to n+sod(n) for n = 996993 and 997011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5070 + ... + 5262.

It is an arithmetic number, because the mean of its divisors is an integer number (52962).

2997038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271088).

997038 is an abundant number, since it is smaller than the sum of its proper divisors (1545138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

997038 is a wasteful number, since it uses less digits than its factorization.

997038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 997038 is about 998.5179016923. The cubic root of 997038 is about 99.9011690232.

The spelling of 997038 in words is "nine hundred ninety-seven thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 193 246 287 369 386 574 579 738 861 1158 1351 1722 1737 2583 2702 3474 4053 5166 7913 8106 12159 15826 23739 24318 47478 55391 71217 110782 142434 166173 332346 498519 997038