Search a number
-
+
73055164 = 22713419479
BaseRepresentation
bin1000101101010…
…11101110111100
312002110120211211
410112223232330
5122200231124
611125454204
71544646550
oct426535674
9162416754
1073055164
1138268476
1220571364
131219b310
1499b9860
156630e94
hex45abbbc

73055164 has 48 divisors (see below), whose sum is σ = 158054400. Its totient is φ = 28771776.

The previous prime is 73055161. The next prime is 73055173. The reversal of 73055164 is 46155037.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73055161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152277 + ... + 152755.

It is an arithmetic number, because the mean of its divisors is an integer number (3292800).

Almost surely, 273055164 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 73055164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79027200).

73055164 is an abundant number, since it is smaller than the sum of its proper divisors (84999236).

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

73055164 is a wasteful number, since it uses less digits than its factorization.

73055164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 31.

The square root of 73055164 is about 8547.2313645999. The cubic root of 73055164 is about 418.0391666786.

The spelling of 73055164 in words is "seventy-three million, fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 419 479 838 958 1676 1916 2933 3353 5447 5866 6227 6706 10894 11732 12454 13412 21788 24908 38129 43589 76258 87178 152516 174356 200701 401402 802804 1404907 2609113 2809814 5218226 5619628 10436452 18263791 36527582 73055164