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992640480 = 253513271587
BaseRepresentation
bin111011001010100…
…111110111100000
32120011211100202020
4323022213313200
54013103443410
6242255421440
733412206366
oct7312476740
92504740666
10992640480
1146a357537
12238524880
1312a861440
1495b93636
155c22aa70
hex3b2a7de0

992640480 has 192 divisors, whose sum is σ = 3385525248. Its totient is φ = 243025920.

The previous prime is 992640469. The next prime is 992640529. The reversal of 992640480 is 84046299.

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 31 ways as a sum of consecutive naturals, for example, 1690747 + ... + 1691333.

It is an arithmetic number, because the mean of its divisors is an integer number (17632944).

Almost surely, 2992640480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992640480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692762624).

992640480 is an abundant number, since it is smaller than the sum of its proper divisors (2392884768).

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

992640480 is a wasteful number, since it uses less digits than its factorization.

992640480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 992640480 is about 31506.1974855742. The cubic root of 992640480 is about 997.5407838803.

The spelling of 992640480 in words is "nine hundred ninety-two million, six hundred forty thousand, four hundred eighty".