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497060928 = 263371329109
BaseRepresentation
bin11101101000001…
…000110001000000
31021122022022102000
4131220020301000
52004221422203
6121153424000
715213643140
oct3550106100
91248268360
10497060928
1123563a261
1211a56b000
137bc963c0
144a02c920
152d9874a3
hex1da08c40

497060928 has 448 divisors, whose sum is σ = 1877568000. Its totient is φ = 125411328.

The previous prime is 497060911. The next prime is 497060947. The reversal of 497060928 is 829060794.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×4970609282 = 494139132288442368, 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 63 ways as a sum of consecutive naturals, for example, 4560138 + ... + 4560246.

It is an arithmetic number, because the mean of its divisors is an integer number (4191000).

Almost surely, 2497060928 is an apocalyptic number.

497060928 is a gapful number since it is divisible by the number (48) 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 497060928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938784000).

497060928 is an abundant number, since it is smaller than the sum of its proper divisors (1380507072).

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

497060928 is a wasteful number, since it uses less digits than its factorization.

497060928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 497060928 is about 22294.8632648868. The cubic root of 497060928 is about 792.1423068438.

The spelling of 497060928 in words is "four hundred ninety-seven million, sixty thousand, nine hundred twenty-eight".