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85067784 = 23324128817
BaseRepresentation
bin1010001001000…
…00100000001000
312221001220001200
411010200200020
5133234132114
612235144200
72052031014
oct504404010
9187056050
1085067784
114402275a
12245a5060
1314815c89
14b425544
157705409
hex5120808

85067784 has 48 divisors (see below), whose sum is σ = 236019420. Its totient is φ = 27663360.

The previous prime is 85067783. The next prime is 85067839. The reversal of 85067784 is 48776058.

It can be written as a sum of positive squares in 2 ways, for example, as 85045284 + 22500 = 9222^2 + 150^2 .

It is not an unprimeable number, because it can be changed into a prime (85067783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11457 + ... + 17360.

Almost surely, 285067784 is an apocalyptic number.

It is an amenable number.

85067784 is an abundant number, since it is smaller than the sum of its proper divisors (150951636).

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

85067784 is a wasteful number, since it uses less digits than its factorization.

85067784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28870 (or 28863 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 85067784 is about 9223.2198282379. The cubic root of 85067784 is about 439.7998125155.

It can be divided in two parts, 8506 and 7784, that added together give a triangular number (16290 = T180).

The spelling of 85067784 in words is "eighty-five million, sixty-seven thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 28817 57634 86451 115268 172902 230536 259353 345804 518706 691608 1037412 1181497 2074824 2362994 3544491 4725988 7088982 9451976 10633473 14177964 21266946 28355928 42533892 85067784