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67082946 = 2373167769
BaseRepresentation
bin1111111111100…
…1101011000010
311200020011111120
43333321223002
5114133123241
610353453110
71443124050
oct377715302
9150204446
1067082946
1134959457
121a571196
1310b89b68
148ca31d0
155d51666
hex3ff9ac2

67082946 has 64 divisors (see below), whose sum is σ = 160849920. Its totient is φ = 18247680.

The previous prime is 67082933. The next prime is 67082963. The reversal of 67082946 is 64928076.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 67082898 and 67082907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86850 + ... + 87618.

It is an arithmetic number, because the mean of its divisors is an integer number (2513280).

Almost surely, 267082946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67082946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80424960).

67082946 is an abundant number, since it is smaller than the sum of its proper divisors (93766974).

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

67082946 is a wasteful number, since it uses less digits than its factorization.

67082946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 67082946 is about 8190.4179380542. The cubic root of 67082946 is about 406.3223474781.

The spelling of 67082946 in words is "sixty-seven million, eighty-two thousand, nine hundred forty-six".

Divisors: 1 2 3 6 7 14 21 31 42 62 67 93 134 186 201 217 402 434 469 651 769 938 1302 1407 1538 2077 2307 2814 4154 4614 5383 6231 10766 12462 14539 16149 23839 29078 32298 43617 47678 51523 71517 87234 103046 143034 154569 166873 309138 333746 360661 500619 721322 1001238 1081983 1597213 2163966 3194426 4791639 9583278 11180491 22360982 33541473 67082946