Search a number
-
+
73746764 = 227213103281
BaseRepresentation
bin1000110010101…
…00100101001100
312010202201112122
410121110211030
5122334344024
611152352112
71553560100
oct431244514
9163681478
1073746764
11386a0043
1220845638
1312381050
149b19900
15671ad5e
hex465494c

73746764 has 72 divisors (see below), whose sum is σ = 163826208. Its totient is φ = 28788480.

The previous prime is 73746703. The next prime is 73746767. The reversal of 73746764 is 46764737.

It is not an unprimeable number, because it can be changed into a prime (73746767) 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, 262304 + ... + 262584.

It is an arithmetic number, because the mean of its divisors is an integer number (2275364).

Almost surely, 273746764 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 73746764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81913104).

73746764 is an abundant number, since it is smaller than the sum of its proper divisors (90079444).

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

73746764 is a wasteful number, since it uses less digits than its factorization.

73746764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 406 counting only the distinct ones).

The product of its digits is 592704, while the sum is 44.

The square root of 73746764 is about 8587.5936093879. The cubic root of 73746764 is about 419.3541926773.

The spelling of 73746764 in words is "seventy-three million, seven hundred forty-six thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 103 182 196 206 281 364 412 562 637 721 1124 1274 1339 1442 1967 2548 2678 2884 3653 3934 5047 5356 7306 7868 9373 10094 13769 14612 18746 20188 25571 27538 28943 37492 51142 55076 57886 65611 102284 115772 131222 178997 202601 262444 357994 376259 405202 715988 752518 810404 1418207 1505036 2633813 2836414 5267626 5672828 10535252 18436691 36873382 73746764