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78461064 = 233211157631
BaseRepresentation
bin1001010110100…
…11100010001000
312110122020100100
410223103202020
5130041223224
611441405400
71641623313
oct453234210
9173566310
1078461064
114031aa60
1222339860
1313341a86
14a5c597a
156d4cac9
hex4ad3888

78461064 has 96 divisors (see below), whose sum is σ = 233663040. Its totient is φ = 23587200.

The previous prime is 78461039. The next prime is 78461077. The reversal of 78461064 is 46016487.

It is a super-2 number, since 2×784610642 = 12312277128024192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124029 + ... + 124659.

It is an arithmetic number, because the mean of its divisors is an integer number (2433990).

Almost surely, 278461064 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 78461064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116831520).

78461064 is an abundant number, since it is smaller than the sum of its proper divisors (155201976).

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

78461064 is a wasteful number, since it uses less digits than its factorization.

78461064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 78461064 is about 8857.8250152055. The cubic root of 78461064 is about 428.1060819531.

The spelling of 78461064 in words is "seventy-eight million, four hundred sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 157 198 264 314 396 471 628 631 792 942 1256 1262 1413 1727 1884 1893 2524 2826 3454 3768 3786 5048 5181 5652 5679 6908 6941 7572 10362 11304 11358 13816 13882 15144 15543 20724 20823 22716 27764 31086 41448 41646 45432 55528 62172 62469 83292 99067 124344 124938 166584 198134 249876 297201 396268 499752 594402 792536 891603 1089737 1188804 1783206 2179474 2377608 3269211 3566412 4358948 6538422 7132824 8717896 9807633 13076844 19615266 26153688 39230532 78461064