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67789056 = 283611447
BaseRepresentation
bin1000000101001…
…10000100000000
311201120001002210
410002212010000
5114323222211
610420542120
71452124506
oct402460400
9151501083
1067789056
11352a0a15
121a851940
131107638a
149008676
155e409a6
hex40a6100

67789056 has 72 divisors (see below), whose sum is σ = 183502144. Its totient is φ = 22210560.

The previous prime is 67789003. The next prime is 67789097. The reversal of 67789056 is 65098776.

It is a super-2 number, since 2×677890562 = 9190712226742272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 67788996 and 67789014.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46125 + ... + 47571.

Almost surely, 267789056 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 67789056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91751072).

67789056 is an abundant number, since it is smaller than the sum of its proper divisors (115713088).

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

67789056 is a wasteful number, since it uses less digits than its factorization.

67789056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1513 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 67789056 is about 8233.4109577987. The cubic root of 67789056 is about 407.7430138683.

The spelling of 67789056 in words is "sixty-seven million, seven hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1447 1464 1952 2894 2928 3904 4341 5788 5856 7808 8682 11576 11712 15616 17364 23152 23424 34728 46304 46848 69456 88267 92608 138912 176534 185216 264801 277824 353068 370432 529602 555648 706136 1059204 1111296 1412272 2118408 2824544 4236816 5649088 8473632 11298176 16947264 22596352 33894528 67789056