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67048074 = 2351953137
BaseRepresentation
bin1111111111000…
…1001010001010
311200011101200000
43333301022022
5114131014244
610353023430
71442620302
oct377611212
9150141600
1067048074
1134935235
121a554b76
1310b77022
148c94602
155d46169
hex3ff128a

67048074 has 96 divisors (see below), whose sum is σ = 162751680. Its totient is φ = 20621952.

The previous prime is 67048073. The next prime is 67048097. The reversal of 67048074 is 47084076.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (67048073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489334 + ... + 489470.

It is an arithmetic number, because the mean of its divisors is an integer number (1695330).

Almost surely, 267048074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67048074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81375840).

67048074 is an abundant number, since it is smaller than the sum of its proper divisors (95703606).

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

67048074 is a wasteful number, since it uses less digits than its factorization.

67048074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 67048074 is about 8188.2888322286. The cubic root of 67048074 is about 406.2519285431.

The spelling of 67048074 in words is "sixty-seven million, forty-eight thousand, seventy-four".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 137 159 162 171 243 274 318 342 411 477 486 513 822 954 1007 1026 1233 1431 1539 2014 2466 2603 2862 3021 3078 3699 4293 4617 5206 6042 7261 7398 7809 8586 9063 9234 11097 12879 14522 15618 18126 21783 22194 23427 25758 27189 33291 43566 46854 54378 65349 66582 70281 81567 130698 137959 140562 163134 196047 210843 244701 275918 392094 413877 421686 489402 588141 632529 827754 1176282 1241631 1265058 1764423 2483262 3528846 3724893 7449786 11174679 22349358 33524037 67048074