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67018428 = 223747163
BaseRepresentation
bin1111111110100…
…1111010111100
311200002220000000
43333221322330
5114124042203
610352234300
71442435001
oct377517274
9150086000
1067018428
1134914a34
121a53b990
1310b66699
148c878a8
155d3c4a3
hex3fe9ebc

67018428 has 96 divisors (see below), whose sum is σ = 180741120. Its totient is φ = 21730032.

The previous prime is 67018423. The next prime is 67018429. The reversal of 67018428 is 82481076.

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

It is a junction number, because it is equal to n+sod(n) for n = 67018392 and 67018401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67018423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 411075 + ... + 411237.

It is an arithmetic number, because the mean of its divisors is an integer number (1882720).

It is a vampire number, since it can be written as 76148802 (with its own digits).

Almost surely, 267018428 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 67018428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90370560).

67018428 is an abundant number, since it is smaller than the sum of its proper divisors (113722692).

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

67018428 is a wasteful number, since it uses less digits than its factorization.

67018428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 67018428 is about 8186.4783637410. The cubic root of 67018428 is about 406.1920435507.

It can be divided in two parts, 6701 and 8428, that added together give a square (15129 = 1232).

The spelling of 67018428 in words is "sixty-seven million, eighteen thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 163 188 243 282 324 326 423 486 489 564 652 729 846 972 978 1269 1458 1467 1692 1956 2187 2538 2916 2934 3807 4374 4401 5076 5868 7614 7661 8748 8802 11421 13203 15228 15322 17604 22842 22983 26406 30644 34263 39609 45684 45966 52812 68526 68949 79218 91932 102789 118827 137052 137898 158436 205578 206847 237654 275796 356481 411156 413694 475308 620541 712962 827388 1241082 1425924 1861623 2482164 3723246 5584869 7446492 11169738 16754607 22339476 33509214 67018428