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894148992 = 273211411721
BaseRepresentation
bin110101010010111…
…010000110000000
32022022111110211100
4311102322012000
53312400231432
6224420414400
731105066242
oct6522720600
92268443740
10894148992
114197a6410
1220b547400
13113328459
1486a76092
155377307c
hex354ba180

894148992 has 192 divisors, whose sum is σ = 2877048720. Its totient is φ = 264192000.

The previous prime is 894148921. The next prime is 894149021. The reversal of 894148992 is 299841498.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 518692 + ... + 520412.

Almost surely, 2894148992 is an apocalyptic number.

894148992 is a gapful number since it is divisible by the number (82) 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 894148992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1438524360).

894148992 is an abundant number, since it is smaller than the sum of its proper divisors (1982899728).

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

894148992 is a wasteful number, since it uses less digits than its factorization.

894148992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1778 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 894148992 is about 29902.3241906043. The cubic root of 894148992 is about 963.3925800443.

The spelling of 894148992 in words is "eight hundred ninety-four million, one hundred forty-eight thousand, nine hundred ninety-two".