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497608020 = 22325713171787
BaseRepresentation
bin11101101010001…
…110010101010100
31021200100002212200
4131222032111110
52004341424040
6121213244500
715221412150
oct3552162524
91250302780
10497608020
112359832a8
1211a793730
137c128420
144a132060
152da44630
hex1da8e554

497608020 has 288 divisors, whose sum is σ = 1968115968. Its totient is φ = 98758656.

The previous prime is 497608009. The next prime is 497608073. The reversal of 497608020 is 20806794.

497608020 is a `hidden beast` number, since 49 + 7 + 608 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×4976080202 = 495227483136640800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 277567 + ... + 279353.

It is an arithmetic number, because the mean of its divisors is an integer number (6833736).

Almost surely, 2497608020 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 497608020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984057984).

497608020 is an abundant number, since it is smaller than the sum of its proper divisors (1470507948).

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

497608020 is a wasteful number, since it uses less digits than its factorization.

497608020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 497608020 is about 22307.1293536394. The cubic root of 497608020 is about 792.4328250970.

The spelling of 497608020 in words is "four hundred ninety-seven million, six hundred eight thousand, twenty".