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497609088 = 27319241283
BaseRepresentation
bin11101101010001…
…110100110000000
31021200100011100020
4131222032212000
52004341442323
6121213253440
715221415234
oct3552164600
91250304306
10497609088
11235984089
1211a794280
137c128a62
144a1325c4
152da44ae3
hex1da8e980

497609088 has 128 divisors (see below), whose sum is σ = 1402051200. Its totient is φ = 155934720.

The previous prime is 497609083. The next prime is 497609093. The reversal of 497609088 is 880906794.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (497609083) and next prime (497609093).

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

It is a super-2 number, since 2×4976090882 = 495229608920383488, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 497609088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497609083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1758195 + ... + 1758477.

It is an arithmetic number, because the mean of its divisors is an integer number (10953525).

Almost surely, 2497609088 is an apocalyptic number.

497609088 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 497609088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701025600).

497609088 is an abundant number, since it is smaller than the sum of its proper divisors (904442112).

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

497609088 is a wasteful number, since it uses less digits than its factorization.

497609088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 51.

The square root of 497609088 is about 22307.1532921617. The cubic root of 497609088 is about 792.4333920209.

The spelling of 497609088 in words is "four hundred ninety-seven million, six hundred nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 241 283 304 384 456 482 566 608 723 849 912 964 1132 1216 1446 1698 1824 1928 2264 2432 2892 3396 3648 3856 4528 4579 5377 5784 6792 7296 7712 9056 9158 10754 11568 13584 13737 15424 16131 18112 18316 21508 23136 27168 27474 30848 32262 36224 36632 43016 46272 54336 54948 64524 68203 73264 86032 92544 108672 109896 129048 136406 146528 172064 204609 219792 258096 272812 293056 344128 409218 439584 516192 545624 586112 688256 818436 879168 1032384 1091248 1295857 1636872 1758336 2064768 2182496 2591714 3273744 3887571 4364992 5183428 6547488 7775142 8729984 10366856 13094976 15550284 20733712 26189952 31100568 41467424 62201136 82934848 124402272 165869696 248804544 497609088