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67166484 = 223711157463
BaseRepresentation
bin1000000000011…
…10000100010100
311200101102002120
410000032010110
5114143311414
610355335540
71443622440
oct400160424
9150342076
1067166484
1134a061a0
121a5b15b0
1310bb8ba8
148cc5820
155d6b2a9
hex400e114

67166484 has 96 divisors (see below), whose sum is σ = 197062656. Its totient is φ = 17297280.

The previous prime is 67166471. The next prime is 67166503. The reversal of 67166484 is 48466176.

It is a super-2 number, since 2×671664842 = 9022673145844512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144837 + ... + 145299.

It is an arithmetic number, because the mean of its divisors is an integer number (2052736).

Almost surely, 267166484 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 67166484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98531328).

67166484 is an abundant number, since it is smaller than the sum of its proper divisors (129896172).

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

67166484 is a wasteful number, since it uses less digits than its factorization.

67166484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 67166484 is about 8195.5160911318. The cubic root of 67166484 is about 406.4909411282.

The spelling of 67166484 in words is "sixty-seven million, one hundred sixty-six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 157 231 308 314 462 463 471 628 924 926 942 1099 1389 1727 1852 1884 2198 2778 3241 3297 3454 4396 5093 5181 5556 6482 6594 6908 9723 10186 10362 12089 12964 13188 15279 19446 20372 20724 24178 30558 35651 36267 38892 48356 61116 71302 72534 72691 106953 142604 145068 145382 213906 218073 290764 427812 436146 508837 799601 872292 1017674 1526511 1599202 2035348 2398803 3053022 3198404 4797606 5597207 6106044 9595212 11194414 16791621 22388828 33583242 67166484