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497888640 = 2733528813
BaseRepresentation
bin11101101011010…
…010110110000000
31021200212100211000
4131223102312000
52004424414030
6121223252000
715223661244
oct3553226600
91250770730
10497888640
11236055117
1211a8aa000
137c1c6082
144a1a6424
152da9c860
hex1dad2d80

497888640 has 128 divisors (see below), whose sum is σ = 1763416800. Its totient is φ = 132765696.

The previous prime is 497888627. The next prime is 497888683. The reversal of 497888640 is 46888794.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2874 + ... + 31686.

Almost surely, 2497888640 is an apocalyptic number.

497888640 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 497888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881708400).

497888640 is an abundant number, since it is smaller than the sum of its proper divisors (1265528160).

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

497888640 is a wasteful number, since it uses less digits than its factorization.

497888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28841 (or 28823 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 497888640 is about 22313.4183844610. The cubic root of 497888640 is about 792.5817580603.

The spelling of 497888640 in words is "four hundred ninety-seven million, eight hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 28813 57626 86439 115252 144065 172878 230504 259317 288130 345756 432195 461008 518634 576260 691512 777951 864390 922016 1037268 1152520 1296585 1383024 1555902 1728780 1844032 2074536 2305040 2593170 2766048 3111804 3457560 3688064 3889755 4149072 4610080 5186340 5532096 6223608 6915120 7779510 8298144 9220160 10372680 11064192 12447216 13830240 15559020 16596288 18440320 20745360 24894432 27660480 31118040 33192576 41490720 49788864 55320960 62236080 82981440 99577728 124472160 165962880 248944320 497888640