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497857920 = 27357172179
BaseRepresentation
bin11101101011001…
…011010110000000
31021200210210200020
4131223023112000
52004422423140
6121222453440
715223502550
oct3553132600
91250723606
10497857920
1123603402a
1211a894280
137c1b50b1
144a199160
152da936d0
hex1dacb580

497857920 has 256 divisors, whose sum is σ = 1921190400. Its totient is φ = 107053056.

The previous prime is 497857873. The next prime is 497857949. The reversal of 497857920 is 29758794.

It is a super-3 number, since 3×4978579203 (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227391 + ... + 229569.

It is an arithmetic number, because the mean of its divisors is an integer number (7504650).

Almost surely, 2497857920 is an apocalyptic number.

497857920 is a gapful number since it is divisible by the number (40) 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 497857920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960595200).

497857920 is an abundant number, since it is smaller than the sum of its proper divisors (1423332480).

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

497857920 is a wasteful number, since it uses less digits than its factorization.

497857920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2225 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 497857920 is about 22312.7299988146. The cubic root of 497857920 is about 792.5654568165.

The spelling of 497857920 in words is "four hundred ninety-seven million, eight hundred fifty-seven thousand, nine hundred twenty".