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497424256 = 2771961479
BaseRepresentation
bin11101101001100…
…001011110000000
31021122222202210121
4131221201132000
52004320034011
6121205310024
715220015330
oct3551413600
91248882717
10497424256
1123586822a
1211a705314
137c0928a4
144a0c50c0
152da09e71
hex1da61780

497424256 has 128 divisors (see below), whose sum is σ = 1214208000. Its totient is φ = 198236160.

The previous prime is 497424251. The next prime is 497424283. The reversal of 497424256 is 652424794.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (497424251) 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, 1038225 + ... + 1038703.

It is an arithmetic number, because the mean of its divisors is an integer number (9486000).

Almost surely, 2497424256 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 497424256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607104000).

497424256 is an abundant number, since it is smaller than the sum of its proper divisors (716783744).

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

497424256 is a wasteful number, since it uses less digits than its factorization.

497424256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 568 counting only the distinct ones).

The product of its digits is 483840, while the sum is 43.

The square root of 497424256 is about 22303.0100210711. The cubic root of 497424256 is about 792.3352660082.

The spelling of 497424256 in words is "four hundred ninety-seven million, four hundred twenty-four thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 61 64 76 112 122 128 133 152 224 244 266 304 427 448 479 488 532 608 854 896 958 976 1064 1159 1216 1708 1916 1952 2128 2318 2432 3353 3416 3832 3904 4256 4636 6706 6832 7664 7808 8113 8512 9101 9272 13412 13664 15328 16226 17024 18202 18544 26824 27328 29219 30656 32452 36404 37088 53648 54656 58438 61312 63707 64904 72808 74176 107296 116876 127414 129808 145616 148352 204533 214592 233752 254828 259616 291232 409066 429184 467504 509656 519232 555161 582464 818132 935008 1019312 1038464 1110322 1164928 1636264 1870016 2038624 2220644 3272528 3740032 3886127 4077248 4441288 6545056 7772254 8154496 8882576 13090112 15544508 17765152 26180224 31089016 35530304 62178032 71060608 124356064 248712128 497424256