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998032 = 24721967
BaseRepresentation
bin11110011101010010000
31212201001011
43303222100
5223414112
633220304
711324500
oct3635220
91781034
10998032
11621922
12401694
1328c369
141bda00
1514aaa7
hexf3a90

998032 has 60 divisors (see below), whose sum is σ = 2403120. Its totient is φ = 399168.

The previous prime is 998029. The next prime is 998069. The reversal of 998032 is 230899.

It is a happy number.

998032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 997985 and 998003.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14863 + ... + 14929.

It is an arithmetic number, because the mean of its divisors is an integer number (40052).

2998032 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 998032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201560).

998032 is an abundant number, since it is smaller than the sum of its proper divisors (1405088).

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

998032 is a wasteful number, since it uses less digits than its factorization.

998032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 998032 is about 999.0155153950. The cubic root of 998032 is about 99.9343569193.

Subtracting from 998032 its sum of digits (31), we obtain a square (998001 = 9992).

It can be divided in two parts, 9 and 98032, that multiplied together give a palindrome (882288).

The spelling of 998032 in words is "nine hundred ninety-eight thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 19 28 38 49 56 67 76 98 112 133 134 152 196 266 268 304 392 469 532 536 784 931 938 1064 1072 1273 1862 1876 2128 2546 3283 3724 3752 5092 6566 7448 7504 8911 10184 13132 14896 17822 20368 26264 35644 52528 62377 71288 124754 142576 249508 499016 998032