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497941760 = 285733
BaseRepresentation
bin11101101011011…
…111110100000000
31021200222001200102
4131223133310000
52004433114020
6121224341532
715224302151
oct3553376400
91250861612
10497941760
11236091018
1211a9148a8
137c2142c4
144a1bb928
152daad475
hex1dadfd00

497941760 has 72 divisors (see below), whose sum is σ = 1209291720. Its totient is φ = 196448256.

The previous prime is 497941753. The next prime is 497941771. The reversal of 497941760 is 67149794.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 473344 + 497468416 = 688^2 + 22304^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6821084 + ... + 6821156.

Almost surely, 2497941760 is an apocalyptic number.

497941760 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 497941760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604645860).

497941760 is an abundant number, since it is smaller than the sum of its proper divisors (711349960).

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

497941760 is an frugal number, since it uses more digits than its factorization.

497941760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 47.

The square root of 497941760 is about 22314.6086678660. The cubic root of 497941760 is about 792.6099440457.

The spelling of 497941760 in words is "four hundred ninety-seven million, nine hundred forty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 584 640 730 1168 1280 1460 2336 2920 4672 5329 5840 9344 10658 11680 18688 21316 23360 26645 42632 46720 53290 85264 93440 106580 170528 213160 341056 389017 426320 682112 778034 852640 1364224 1556068 1705280 1945085 3112136 3410560 3890170 6224272 6821120 7780340 12448544 15560680 24897088 31121360 49794176 62242720 99588352 124485440 248970880 497941760