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67208484 = 22372343809
BaseRepresentation
bin1000000000110…
…00010100100100
311200110112201010
410000120110210
5114201132414
610400302220
71444156050
oct400302444
9150415633
1067208484
1134a34802
121a611970
1310c02045
148cd6c60
155d78959
hex4018524

67208484 has 96 divisors (see below), whose sum is σ = 191600640. Its totient is φ = 17918208.

The previous prime is 67208483. The next prime is 67208489. The reversal of 67208484 is 48480276.

67208484 is a modest number, since divided by 8484 gives 6720 as remainder.

It is not an unprimeable number, because it can be changed into a prime (67208483) by changing a digit.

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, 82672 + ... + 83480.

It is an arithmetic number, because the mean of its divisors is an integer number (1995840).

Almost surely, 267208484 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 67208484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95800320).

67208484 is an abundant number, since it is smaller than the sum of its proper divisors (124392156).

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

67208484 is a wasteful number, since it uses less digits than its factorization.

67208484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 67208484 is about 8198.0780674497. The cubic root of 67208484 is about 406.5756513446.

The spelling of 67208484 in words is "sixty-seven million, two hundred eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 43 46 69 84 86 92 129 138 161 172 258 276 301 322 483 516 602 644 809 903 966 989 1204 1618 1806 1932 1978 2427 2967 3236 3612 3956 4854 5663 5934 6923 9708 11326 11868 13846 16989 18607 20769 22652 27692 33978 34787 37214 41538 55821 67956 69574 74428 83076 104361 111642 130249 139148 208722 223284 243509 260498 390747 417444 487018 520996 730527 781494 800101 974036 1461054 1562988 1600202 2400303 2922108 3200404 4800606 5600707 9601212 11201414 16802121 22402828 33604242 67208484