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498566640 = 2435111373199
BaseRepresentation
bin11101101101111…
…000010111110000
31021202010210212010
4131231320113300
52010113113030
6121250002520
715232514025
oct3555702760
91252123763
10498566640
11236478550
1211ab76440
137c3a2860
144a30154c
152db836b0
hex1db785f0

498566640 has 320 divisors, whose sum is σ = 1849881600. Its totient is φ = 109486080.

The previous prime is 498566617. The next prime is 498566657. The reversal of 498566640 is 46665894.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 498566640.

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 63 ways as a sum of consecutive naturals, for example, 2505261 + ... + 2505459.

It is an arithmetic number, because the mean of its divisors is an integer number (5780880).

Almost surely, 2498566640 is an apocalyptic number.

498566640 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 498566640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924940800).

498566640 is an abundant number, since it is smaller than the sum of its proper divisors (1351314960).

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

498566640 is a wasteful number, since it uses less digits than its factorization.

498566640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The square root of 498566640 is about 22328.6058678100. The cubic root of 498566640 is about 792.9413610262.

The spelling of 498566640 in words is "four hundred ninety-eight million, five hundred sixty-six thousand, six hundred forty".