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497240640 = 263351319233
BaseRepresentation
bin11101101000110…
…100101001000000
31021122122102221000
4131220310221000
52004243200030
6121201332000
715215322111
oct3550645100
91248572830
10497240640
11235752286
1211a637000
137c02a140
144a078208
152d9c0860
hex1da34a40

497240640 has 448 divisors, whose sum is σ = 1997049600. Its totient is φ = 115458048.

The previous prime is 497240609. The next prime is 497240671. The reversal of 497240640 is 46042794.

497240640 is a `hidden beast` number, since 4 + 9 + 7 + 2 + 4 + 0 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (497240609) and next prime (497240671).

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

It is a junction number, because it is equal to n+sod(n) for n = 497240595 and 497240604.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2133964 + ... + 2134196.

It is an arithmetic number, because the mean of its divisors is an integer number (4457700).

Almost surely, 2497240640 is an apocalyptic number.

497240640 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 497240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998524800).

497240640 is an abundant number, since it is smaller than the sum of its proper divisors (1499808960).

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

497240640 is a wasteful number, since it uses less digits than its factorization.

497240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 497240640 is about 22298.8932460784. The cubic root of 497240640 is about 792.2377614901.

The spelling of 497240640 in words is "four hundred ninety-seven million, two hundred forty thousand, six hundred forty".