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989021200 = 245211321881
BaseRepresentation
bin111010111100110…
…100010000010000
32112221000111000211
4322330310100100
54011142134300
6242050053504
733336353506
oct7274642020
92487014024
10989021200
114683052a2
1223727a294
13129b94c5b
14954d0676
155bc634ba
hex3af34410

989021200 has 60 divisors (see below), whose sum is σ = 2397260628. Its totient is φ = 392089600.

The previous prime is 989021161. The next prime is 989021203. The reversal of 989021200 is 2120989.

It can be written as a sum of positive squares in 6 ways, for example, as 526427136 + 462594064 = 22944^2 + 21508^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989021203) 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 11 ways as a sum of consecutive naturals, for example, 34260 + ... + 56140.

Almost surely, 2989021200 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 989021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198630314).

989021200 is an abundant number, since it is smaller than the sum of its proper divisors (1408239428).

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

989021200 is a wasteful number, since it uses less digits than its factorization.

989021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22012 (or 22001 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The square root of 989021200 is about 31448.7074456169. The cubic root of 989021200 is about 996.3269250387.

The spelling of 989021200 in words is "nine hundred eighty-nine million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 113 200 226 400 452 565 904 1130 1808 2260 2825 4520 5650 9040 11300 21881 22600 43762 45200 87524 109405 175048 218810 350096 437620 547025 875240 1094050 1750480 2188100 2472553 4376200 4945106 8752400 9890212 12362765 19780424 24725530 39560848 49451060 61813825 98902120 123627650 197804240 247255300 494510600 989021200