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497420352 = 26341121361
BaseRepresentation
bin11101101001100…
…000100001000000
31021122222120110000
4131221200201000
52004314422402
6121205240000
715220001052
oct3551404100
91248876400
10497420352
11235865300
1211a703000
137c090b90
144a0c38d2
152da08c1c
hex1da60840

497420352 has 420 divisors, whose sum is σ = 1774027948. Its totient is φ = 136857600.

The previous prime is 497420351. The next prime is 497420359. The reversal of 497420352 is 253024794.

It can be written as a sum of positive squares in 2 ways, for example, as 40144896 + 457275456 = 6336^2 + 21384^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497420351) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8154402 + ... + 8154462.

Almost surely, 2497420352 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 497420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887013974).

497420352 is an abundant number, since it is smaller than the sum of its proper divisors (1276607596).

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

497420352 is a wasteful number, since it uses less digits than its factorization.

497420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 497420352 is about 22302.9224990807. The cubic root of 497420352 is about 792.3331931399. Note that the first 3 decimals are identical.

The spelling of 497420352 in words is "four hundred ninety-seven million, four hundred twenty thousand, three hundred fifty-two".