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505538656 = 25717132757
BaseRepresentation
bin11110001000011…
…110100001100000
31022020021000122221
4132020132201200
52013404214111
6122055240424
715346002430
oct3610364140
91266230587
10505538656
1123a3aa747
12121379114
13809740cc
144b1d82c0
152e5ae371
hex1e21e860

505538656 has 48 divisors (see below), whose sum is σ = 1204380576. Its totient is φ = 203913216.

The previous prime is 505538653. The next prime is 505538687. The reversal of 505538656 is 656835505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505538653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62571 + ... + 70186.

It is an arithmetic number, because the mean of its divisors is an integer number (25091262).

Almost surely, 2505538656 is an apocalyptic number.

505538656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

505538656 is an abundant number, since it is smaller than the sum of its proper divisors (698841920).

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

505538656 is a wasteful number, since it uses less digits than its factorization.

505538656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132791 (or 132783 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 43.

The square root of 505538656 is about 22484.1867987259. The cubic root of 505538656 is about 796.6204601582.

The spelling of 505538656 in words is "five hundred five million, five hundred thirty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 132757 265514 531028 929299 1062056 1858598 2124112 2256869 3717196 4248224 4513738 7434392 9027476 14868784 15798083 18054952 29737568 31596166 36109904 63192332 72219808 126384664 252769328 505538656