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989472 = 25311937
BaseRepresentation
bin11110001100100100000
31212021022010
43301210200
5223130342
633112520
711260521
oct3614440
91767263
10989472
11616450
123b8740
132884b3
141ba848
1514829c
hexf1920

989472 has 48 divisors (see below), whose sum is σ = 2836512. Its totient is φ = 299520.

The previous prime is 989467. The next prime is 989477. The reversal of 989472 is 274989.

It is an interprime number because it is at equal distance from previous prime (989467) and next prime (989477).

It is a tau number, because it is divible by the number of its divisors (48).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 989472.

It is not an unprimeable number, because it can be changed into a prime (989477) by changing a digit.

989472 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, 588 + ... + 1524.

It is an arithmetic number, because the mean of its divisors is an integer number (59094).

2989472 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 989472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418256).

989472 is an abundant number, since it is smaller than the sum of its proper divisors (1847040).

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

989472 is a wasteful number, since it uses less digits than its factorization.

989472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 953 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 989472 is about 994.7220717366. The cubic root of 989472 is about 99.6478278705.

The spelling of 989472 in words is "nine hundred eighty-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 937 1056 1874 2811 3748 5622 7496 10307 11244 14992 20614 22488 29984 30921 41228 44976 61842 82456 89952 123684 164912 247368 329824 494736 989472