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73096386 = 2311372809
BaseRepresentation
bin1000101101101…
…01110011000010
312002112200101120
410112311303002
5122203041021
611130413110
71545210666
oct426656302
9162480346
1073096386
1138296440
1220591196
13121b3ccc
1499ca8a6
15663d2c6
hex45b5cc2

73096386 has 48 divisors (see below), whose sum is σ = 164112480. Its totient is φ = 21525120.

The previous prime is 73096343. The next prime is 73096403. The reversal of 73096386 is 68369037.

It is a super-4 number, since 4×730963864 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89950 + ... + 90758.

It is an arithmetic number, because the mean of its divisors is an integer number (3419010).

Almost surely, 273096386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73096386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82056240).

73096386 is an abundant number, since it is smaller than the sum of its proper divisors (91016094).

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

73096386 is a wasteful number, since it uses less digits than its factorization.

73096386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 73096386 is about 8549.6424486642. The cubic root of 73096386 is about 418.1177792841.

It can be divided in two parts, 7309 and 6386, that added together give a triangular number (13695 = T165).

The spelling of 73096386 in words is "seventy-three million, ninety-six thousand, three hundred eighty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 809 814 1221 1369 1618 2427 2442 2738 4107 4854 8214 8899 15059 17798 26697 29933 30118 45177 53394 59866 89799 90354 179598 329263 658526 987789 1107521 1975578 2215042 3322563 6645126 12182731 24365462 36548193 73096386