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889678944 = 253371143311
BaseRepresentation
bin110101000001110…
…110110001100000
32022000002101002000
4311001312301200
53310224211234
6224140524000
731022101110
oct6501666140
92260071060
10889678944
11417222a60
12209b50600
1311242195b
1486231040
155318d899
hex35076c60

889678944 has 384 divisors, whose sum is σ = 3321077760. Its totient is φ = 224985600.

The previous prime is 889678943. The next prime is 889678957. The reversal of 889678944 is 449876988.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (889678943) 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 63 ways as a sum of consecutive naturals, for example, 2860549 + ... + 2860859.

It is an arithmetic number, because the mean of its divisors is an integer number (8648640).

Almost surely, 2889678944 is an apocalyptic number.

889678944 is a gapful number since it is divisible by the number (84) 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 889678944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660538880).

889678944 is an abundant number, since it is smaller than the sum of its proper divisors (2431398816).

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

889678944 is a wasteful number, since it uses less digits than its factorization.

889678944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 377 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 889678944 is about 29827.4863842061. The cubic root of 889678944 is about 961.7844933442.

The spelling of 889678944 in words is "eight hundred eighty-nine million, six hundred seventy-eight thousand, nine hundred forty-four".