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982772028 = 223472103601
BaseRepresentation
bin111010100100111…
…110100100111100
32112111020222210000
4322210332210330
54003042201103
6241304114300
733232265400
oct7244764474
92474228700
10982772028
11464827197
12235165990
131287b7714
1494745100
155b42baa3
hex3a93e93c

982772028 has 180 divisors, whose sum is σ = 3022651632. Its totient is φ = 277603200.

The previous prime is 982771943. The next prime is 982772033. The reversal of 982772028 is 820277289.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1634928 + ... + 1635528.

Almost surely, 2982772028 is an apocalyptic number.

982772028 is a gapful number since it is divisible by the number (98) 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 982772028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511325816).

982772028 is an abundant number, since it is smaller than the sum of its proper divisors (2039879604).

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

982772028 is a wasteful number, since it uses less digits than its factorization.

982772028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 982772028 is about 31349.1950135885. The cubic root of 982772028 is about 994.2240452451.

The spelling of 982772028 in words is "nine hundred eighty-two million, seven hundred seventy-two thousand, twenty-eight".