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67481216 = 271124357
BaseRepresentation
bin1000000010110…
…10111010000000
311200222101211022
410001122322000
5114233344331
610410205012
71446403145
oct401327200
9150871738
1067481216
1135100700
121a723768
1310c9921a
148d683cc
155dce67b
hex405ae80

67481216 has 48 divisors (see below), whose sum is σ = 147801570. Its totient is φ = 30666240.

The previous prime is 67481213. The next prime is 67481257. The reversal of 67481216 is 61218476.

It can be written as a sum of positive squares in only one way, i.e., 34762816 + 32718400 = 5896^2 + 5720^2 .

It is not an unprimeable number, because it can be changed into a prime (67481213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13310 + ... + 17666.

Almost surely, 267481216 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 67481216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73900785).

67481216 is an abundant number, since it is smaller than the sum of its proper divisors (80320354).

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

67481216 is a wasteful number, since it uses less digits than its factorization.

67481216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4393 (or 4370 counting only the distinct ones).

The product of its digits is 16128, while the sum is 35.

The square root of 67481216 is about 8214.6951252009. The cubic root of 67481216 is about 407.1248703775.

The spelling of 67481216 in words is "sixty-seven million, four hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 4357 7744 8714 15488 17428 34856 47927 69712 95854 139424 191708 278848 383416 527197 557696 766832 1054394 1533664 2108788 3067328 4217576 6134656 8435152 16870304 33740608 67481216