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6677056 = 26172192
BaseRepresentation
bin11001011110001001000000
3110120020012101
4121132021000
53202131211
6355040144
7110516431
oct31361100
913506171
106677056
113850631
1222a0054
1314ca229
14c5b488
158bd5c1
hex65e240

6677056 has 63 divisors (see below), whose sum is σ = 14854809. Its totient is φ = 2976768.

The previous prime is 6677029. The next prime is 6677071. The reversal of 6677056 is 6507766.

The square root of 6677056 is 2584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5198400 + 1478656 = 2280^2 + 1216^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 351415 + ... + 351433.

Almost surely, 26677056 is an apocalyptic number.

6677056 is the 2584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677056

6677056 is an abundant number, since it is smaller than the sum of its proper divisors (8177753).

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

6677056 is a wasteful number, since it uses less digits than its factorization.

6677056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 37.

The cubic root of 6677056 is about 188.3049224031.

The spelling of 6677056 in words is "six million, six hundred seventy-seven thousand, fifty-six".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 136 152 272 289 304 323 361 544 578 608 646 722 1088 1156 1216 1292 1444 2312 2584 2888 4624 5168 5491 5776 6137 9248 10336 10982 11552 12274 18496 20672 21964 23104 24548 43928 49096 87856 98192 104329 175712 196384 208658 351424 392768 417316 834632 1669264 3338528 6677056