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78212064 = 2537116387
BaseRepresentation
bin1001010100101…
…10101111100000
312110011120210010
410222112233200
5130010241224
611432204520
71636535340
oct452265740
9173146703
1078212064
114016a977
1222239740
1313285638
14a55cd20
156cede29
hex4a96be0

78212064 has 48 divisors (see below), whose sum is σ = 234638208. Its totient is φ = 22346112.

The previous prime is 78212041. The next prime is 78212107. The reversal of 78212064 is 46021287.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×782120642 = 12234253910280192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57522 + ... + 58865.

It is an arithmetic number, because the mean of its divisors is an integer number (4888296).

Almost surely, 278212064 is an apocalyptic number.

It is an amenable number.

78212064 is an abundant number, since it is smaller than the sum of its proper divisors (156426144).

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

78212064 is a wasteful number, since it uses less digits than its factorization.

78212064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116407 (or 116399 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 78212064 is about 8843.7584770277. The cubic root of 78212064 is about 427.6527302170.

The spelling of 78212064 in words is "seventy-eight million, two hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 116387 232774 349161 465548 698322 814709 931096 1396644 1629418 1862192 2444127 2793288 3258836 3724384 4888254 5586576 6517672 9776508 11173152 13035344 19553016 26070688 39106032 78212064