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988950 = 235219347
BaseRepresentation
bin11110001011100010110
31212020120210
43301130112
5223121300
633110250
711256144
oct3613426
91766523
10988950
11616016
123b8386
132881a1
141ba594
15148050
hexf1716

988950 has 48 divisors (see below), whose sum is σ = 2589120. Its totient is φ = 249120.

The previous prime is 988937. The next prime is 988951. The reversal of 988950 is 59889.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 988899 and 988908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988951) by changing a digit.

988950 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2677 + ... + 3023.

It is an arithmetic number, because the mean of its divisors is an integer number (53940).

2988950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 988950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294560).

988950 is an abundant number, since it is smaller than the sum of its proper divisors (1600170).

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

988950 is a wasteful number, since it uses less digits than its factorization.

988950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 988950 is about 994.4596522735. The cubic root of 988950 is about 99.6303015818.

The spelling of 988950 in words is "nine hundred eighty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 150 190 285 347 475 570 694 950 1041 1425 1735 2082 2850 3470 5205 6593 8675 10410 13186 17350 19779 26025 32965 39558 52050 65930 98895 164825 197790 329650 494475 988950