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51386643 = 3472112107
BaseRepresentation
bin1100010000000…
…1100100010011
310120200201020000
43010001210103
5101123333033
65033221043
71162531200
oct304014423
9116621200
1051386643
1127008600
1215261783
13a8525c9
146b78ca7
1547a0a13
hex3101913

51386643 has 90 divisors (see below), whose sum is σ = 99068508. Its totient is φ = 26444880.

The previous prime is 51386639. The next prime is 51386663. The reversal of 51386643 is 34668315.

51386643 is a `hidden beast` number, since 5 + 1 + 3 + 8 + 6 + 643 = 666.

It is not a de Polignac number, because 51386643 - 22 = 51386639 is a prime.

Its product of digits (51840) is a multiple of the sum of its prime divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 51386598 and 51386607.

It is not an unprimeable number, because it can be changed into a prime (51386663) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 480196 + ... + 480302.

Almost surely, 251386643 is an apocalyptic number.

51386643 is a deficient number, since it is larger than the sum of its proper divisors (47681865).

51386643 is a wasteful number, since it uses less digits than its factorization.

51386643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 128 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 51386643 is about 7168.4477399225. The cubic root of 51386643 is about 371.7777678897. Note that the first 4 decimals are identical.

It can be divided in two parts, 5138 and 6643, that added together give a triangular number (11781 = T153).

The spelling of 51386643 in words is "fifty-one million, three hundred eighty-six thousand, six hundred forty-three".

Divisors: 1 3 7 9 11 21 27 33 49 63 77 81 99 107 121 147 189 231 297 321 363 441 539 567 693 749 847 891 963 1089 1177 1323 1617 2079 2247 2541 2889 3267 3531 3969 4851 5243 5929 6237 6741 7623 8239 8667 9801 10593 12947 14553 15729 17787 20223 22869 24717 31779 38841 43659 47187 53361 57673 60669 68607 74151 90629 95337 116523 141561 160083 173019 222453 271887 349569 424683 480249 519057 634403 667359 815661 1048707 1557171 1903209 2446983 4671513 5709627 7340949 17128881 51386643