Search a number
-
+
64773468 = 223217109971
BaseRepresentation
bin1111011100010…
…1110101011100
311111212211111100
43313011311130
5113040222333
610232153100
71414364634
oct367056534
9144784440
1064773468
11336212a1
1219838790
131055b8c6
1488616c4
155a47213
hex3dc5d5c

64773468 has 72 divisors (see below), whose sum is σ = 175134960. Its totient is φ = 20113920.

The previous prime is 64773461. The next prime is 64773469. The reversal of 64773468 is 86437746.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64773461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66223 + ... + 67193.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 264773468 is an apocalyptic number.

64773468 is a gapful number since it is divisible by the number (68) 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 64773468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87567480).

64773468 is an abundant number, since it is smaller than the sum of its proper divisors (110361492).

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

64773468 is a wasteful number, since it uses less digits than its factorization.

64773468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1107 (or 1102 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 64773468 is about 8048.1965681760. The cubic root of 64773468 is about 401.6049434453.

The spelling of 64773468 in words is "sixty-four million, seven hundred seventy-three thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 109 153 204 218 306 327 436 612 654 971 981 1308 1853 1942 1962 2913 3706 3884 3924 5559 5826 7412 8739 11118 11652 16507 16677 17478 22236 33014 33354 34956 49521 66028 66708 99042 105839 148563 198084 211678 297126 317517 423356 594252 635034 952551 1270068 1799263 1905102 3598526 3810204 5397789 7197052 10795578 16193367 21591156 32386734 64773468