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51067296 = 2532773347
BaseRepresentation
bin1100001011001…
…1100110100000
310120002111011100
43002303212200
5101033123141
65022314400
71160031150
oct302634640
9116074140
1051067296
112690a685
1215128a00
13a770147
146ad4760
15473b0b6
hex30b39a0

51067296 has 144 divisors (see below), whose sum is σ = 168727104. Its totient is φ = 14349312.

The previous prime is 51067283. The next prime is 51067319. The reversal of 51067296 is 69276015.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 51067296.

It is a congruent number.

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, 146995 + ... + 147341.

It is an arithmetic number, because the mean of its divisors is an integer number (1171716).

Almost surely, 251067296 is an apocalyptic number.

51067296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51067296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84363552).

51067296 is an abundant number, since it is smaller than the sum of its proper divisors (117659808).

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

51067296 is a wasteful number, since it uses less digits than its factorization.

51067296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 51067296 is about 7146.1385376999. The cubic root of 51067296 is about 371.0060179735.

The spelling of 51067296 in words is "fifty-one million, sixty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 73 84 96 112 126 144 146 168 219 224 252 288 292 336 347 438 504 511 584 657 672 694 876 1008 1022 1041 1168 1314 1388 1533 1752 2016 2044 2082 2336 2429 2628 2776 3066 3123 3504 4088 4164 4599 4858 5256 5552 6132 6246 7008 7287 8176 8328 9198 9716 10512 11104 12264 12492 14574 16352 16656 18396 19432 21024 21861 24528 24984 25331 29148 33312 36792 38864 43722 49056 49968 50662 58296 73584 75993 77728 87444 99936 101324 116592 147168 151986 174888 177317 202648 227979 233184 303972 349776 354634 405296 455958 531951 607944 699552 709268 810592 911916 1063902 1215888 1418536 1595853 1823832 2127804 2431776 2837072 3191706 3647664 4255608 5674144 6383412 7295328 8511216 12766824 17022432 25533648 51067296