Search a number
-
+
73912464 = 243217109277
BaseRepresentation
bin1000110011111…
…01000010010000
312011002010211200
410121331002100
5122410144324
611200111200
71555150143
oct431750220
9164063750
1073912464
11387a358a
1220905500
131240b5b2
149b6005a
15674eec9
hex467d090

73912464 has 120 divisors (see below), whose sum is σ = 221827320. Its totient is φ = 22892544.

The previous prime is 73912441. The next prime is 73912469. The reversal of 73912464 is 46421937.

It can be written as a sum of positive squares in 4 ways, for example, as 14745600 + 59166864 = 3840^2 + 7692^2 .

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

It is not an unprimeable number, because it can be changed into a prime (73912469) by changing a digit.

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, 266694 + ... + 266970.

It is an arithmetic number, because the mean of its divisors is an integer number (1848561).

Almost surely, 273912464 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 73912464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110913660).

73912464 is an abundant number, since it is smaller than the sum of its proper divisors (147914856).

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

73912464 is a wasteful number, since it uses less digits than its factorization.

73912464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 408 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 73912464 is about 8597.2358348483. The cubic root of 73912464 is about 419.6680370093.

It can be divided in two parts, 739 and 12464, that added together give a triangular number (13203 = T162).

The spelling of 73912464 in words is "seventy-three million, nine hundred twelve thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 109 136 144 153 204 218 272 277 306 327 408 436 554 612 654 816 831 872 981 1108 1224 1308 1662 1744 1853 1962 2216 2448 2493 2616 3324 3706 3924 4432 4709 4986 5232 5559 6648 7412 7848 9418 9972 11118 13296 14127 14824 15696 16677 18836 19944 22236 28254 29648 30193 33354 37672 39888 42381 44472 56508 60386 66708 75344 84762 88944 90579 113016 120772 133416 169524 181158 226032 241544 266832 271737 339048 362316 483088 513281 543474 678096 724632 1026562 1086948 1449264 1539843 2053124 2173896 3079686 4106248 4347792 4619529 6159372 8212496 9239058 12318744 18478116 24637488 36956232 73912464