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67255056 = 24331114153
BaseRepresentation
bin1000000001000…
…11101100010000
311200112220121000
410000203230100
5114204130211
610401302000
71444441611
oct400435420
9150486530
1067255056
1134a667a0
121a634900
1310c1a2bb
148d09c08
155d87656
hex4023b10

67255056 has 80 divisors (see below), whose sum is σ = 210611520. Its totient is φ = 20378880.

The previous prime is 67255051. The next prime is 67255061. The reversal of 67255056 is 65055276.

It is an interprime number because it is at equal distance from previous prime (67255051) and next prime (67255061).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 67255056.

It is not an unprimeable number, because it can be changed into a prime (67255051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2325 + ... + 11828.

It is an arithmetic number, because the mean of its divisors is an integer number (2632644).

Almost surely, 267255056 is an apocalyptic number.

67255056 is a gapful number since it is divisible by the number (66) 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 67255056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105305760).

67255056 is an abundant number, since it is smaller than the sum of its proper divisors (143356464).

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

67255056 is a wasteful number, since it uses less digits than its factorization.

67255056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14181 (or 14169 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 67255056 is about 8200.9179973952. The cubic root of 67255056 is about 406.6695416202.

It can be divided in two parts, 6725 and 5056, that added together give a triangular number (11781 = T153).

The spelling of 67255056 in words is "sixty-seven million, two hundred fifty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 14153 28306 42459 56612 84918 113224 127377 155683 169836 226448 254754 311366 339672 382131 467049 509508 622732 679344 764262 934098 1019016 1245464 1401147 1528524 1868196 2038032 2490928 2802294 3057048 3736392 4203441 5604588 6114096 7472784 8406882 11209176 16813764 22418352 33627528 67255056