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497936880 = 243257313187
BaseRepresentation
bin11101101011011…
…110100111110000
31021200221210222200
4131223132213300
52004432440010
6121224303200
715224252010
oct3553364760
91250853880
10497936880
11236088391
1211a911b00
137c21200c
144a1b9c40
152daabcc0
hex1dade9f0

497936880 has 240 divisors, whose sum is σ = 1973397504. Its totient is φ = 110108160.

The previous prime is 497936863. The next prime is 497936897. The reversal of 497936880 is 88639794.

497936880 is a `hidden beast` number, since 497 + 93 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (497936863) and next prime (497936897).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4979368802 = 495882272928268800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154647 + ... + 157833.

Almost surely, 2497936880 is an apocalyptic number.

497936880 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 497936880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (986698752).

497936880 is an abundant number, since it is smaller than the sum of its proper divisors (1475460624).

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

497936880 is a wasteful number, since it uses less digits than its factorization.

497936880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3235 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 497936880 is about 22314.4993221896. The cubic root of 497936880 is about 792.6073547542.

The spelling of 497936880 in words is "four hundred ninety-seven million, nine hundred thirty-six thousand, eight hundred eighty".