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992131296 = 253132979347
BaseRepresentation
bin111011001000101…
…011100011100000
32120010212111021120
4323020223203200
54012441200141
6242240452240
733404656032
oct7310534340
92503774246
10992131296
1146a039a22
1223831a080
1312a713750
1495a9dc52
155c179c66
hex3b22b8e0

992131296 has 192 divisors, whose sum is σ = 2946585600. Its totient is φ = 290174976.

The previous prime is 992131277. The next prime is 992131297. The reversal of 992131296 is 692131299.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992131297) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2858995 + ... + 2859341.

It is an arithmetic number, because the mean of its divisors is an integer number (15346800).

Almost surely, 2992131296 is an apocalyptic number.

992131296 is a gapful number since it is divisible by the number (96) 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 992131296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473292800).

992131296 is an abundant number, since it is smaller than the sum of its proper divisors (1954454304).

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

992131296 is a wasteful number, since it uses less digits than its factorization.

992131296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its digits is 52488, while the sum is 42.

The square root of 992131296 is about 31498.1157531685. The cubic root of 992131296 is about 997.3701888223.

The spelling of 992131296 in words is "nine hundred ninety-two million, one hundred thirty-one thousand, two hundred ninety-six".