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997948 = 227291229
BaseRepresentation
bin11110011101000111100
31212200221001
43303220330
5223413243
633220044
711324320
oct3635074
91780831
10997948
11621856
12401624
1328c303
141bd980
1514aa4d
hexf3a3c

997948 has 24 divisors (see below), whose sum is σ = 2066400. Its totient is φ = 412608.

The previous prime is 997933. The next prime is 997949. The reversal of 997948 is 849799.

It is a zygodrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 997898 and 997907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997949) by changing a digit.

997948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198 + ... + 1426.

It is an arithmetic number, because the mean of its divisors is an integer number (86100).

2997948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 997948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033200).

997948 is an abundant number, since it is smaller than the sum of its proper divisors (1068452).

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

997948 is a wasteful number, since it uses less digits than its factorization.

997948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1267 counting only the distinct ones).

The product of its digits is 163296, while the sum is 46.

The square root of 997948 is about 998.9734731213. The cubic root of 997948 is about 99.9315531610.

The spelling of 997948 in words is "nine hundred ninety-seven thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 58 116 203 406 812 1229 2458 4916 8603 17206 34412 35641 71282 142564 249487 498974 997948