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987482496 = 273721113367
BaseRepresentation
bin111010110110111…
…100100110000000
32112211010022022210
4322312330212000
54010243414441
6241553102120
733320314500
oct7266744600
92484108283
10987482496
11467454240
12236857940
13129776790
149520da00
155ba5c616
hex3adbc980

987482496 has 384 divisors, whose sum is σ = 3594447360. Its totient is φ = 236113920.

The previous prime is 987482491. The next prime is 987482513. The reversal of 987482496 is 694284789.

987482496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (987482491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2690505 + ... + 2690871.

It is an arithmetic number, because the mean of its divisors is an integer number (9360540).

Almost surely, 2987482496 is an apocalyptic number.

987482496 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 987482496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797223680).

987482496 is an abundant number, since it is smaller than the sum of its proper divisors (2606964864).

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

987482496 is a wasteful number, since it uses less digits than its factorization.

987482496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 403 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 57.

The square root of 987482496 is about 31424.2342150131. The cubic root of 987482496 is about 995.8099668091.

The spelling of 987482496 in words is "nine hundred eighty-seven million, four hundred eighty-two thousand, four hundred ninety-six".