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989501400 = 2333522331257
BaseRepresentation
bin111010111110101…
…001011111011000
32112221220212202000
4322332221133120
54011303021100
6242104241000
733343423506
oct7276513730
92487825660
10989501400
11468603058
12237470160
1312a0026b4
14955b7676
155bd0a900
hex3afa97d8

989501400 has 384 divisors, whose sum is σ = 3685478400. Its totient is φ = 243302400.

The previous prime is 989501393. The next prime is 989501407. The reversal of 989501400 is 4105989.

It is an interprime number because it is at equal distance from previous prime (989501393) and next prime (989501407).

It is a super-2 number, since 2×9895014002 = 1958226041203920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (989501407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3850072 + ... + 3850328.

It is an arithmetic number, because the mean of its divisors is an integer number (9597600).

Almost surely, 2989501400 is an apocalyptic number.

989501400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 989501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842739200).

989501400 is an abundant number, since it is smaller than the sum of its proper divisors (2695977000).

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

989501400 is a wasteful number, since it uses less digits than its factorization.

989501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 989501400 is about 31456.3411731244. The cubic root of 989501400 is about 996.4881479995.

The spelling of 989501400 in words is "nine hundred eighty-nine million, five hundred one thousand, four hundred".