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498580992 = 29327132941
BaseRepresentation
bin11101101101111…
…011111000000000
31021202011112112200
4131231323320000
52010114042432
6121250153200
715232603620
oct3555737000
91252145480
10498580992
11236488308
1211ab82800
137c3a9250
144a306880
152db87a7c
hex1db7be00

498580992 has 480 divisors, whose sum is σ = 1876754880. Its totient is φ = 123863040.

The previous prime is 498580991. The next prime is 498581081. The reversal of 498580992 is 299085894.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498580991) 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, 12160492 + ... + 12160532.

It is an arithmetic number, because the mean of its divisors is an integer number (3909906).

Almost surely, 2498580992 is an apocalyptic number.

498580992 is a gapful number since it is divisible by the number (42) 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 498580992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938377440).

498580992 is an abundant number, since it is smaller than the sum of its proper divisors (1378173888).

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

498580992 is a wasteful number, since it uses less digits than its factorization.

498580992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The square root of 498580992 is about 22328.9272469593. The cubic root of 498580992 is about 792.9489696281.

The spelling of 498580992 in words is "four hundred ninety-eight million, five hundred eighty thousand, nine hundred ninety-two".