Search a number
-
+
45134076 = 22313349829
BaseRepresentation
bin1010110000101…
…1000011111100
310010221001022110
42230023003330
543023242301
64251214020
71055430141
oct254130374
9103831273
1045134076
1123527999
1213147310
139473670
145dcc3c8
153e680d6
hex2b0b0fc

45134076 has 48 divisors (see below), whose sum is σ = 113876000. Its totient is φ = 13830912.

The previous prime is 45134069. The next prime is 45134093. The reversal of 45134076 is 67043154.

45134076 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 54030 + ... + 54858.

Almost surely, 245134076 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 45134076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56938000).

45134076 is an abundant number, since it is smaller than the sum of its proper divisors (68741924).

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

45134076 is a wasteful number, since it uses less digits than its factorization.

45134076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 45134076 is about 6718.1899347964. The cubic root of 45134076 is about 356.0422350262.

The spelling of 45134076 in words is "forty-five million, one hundred thirty-four thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 349 698 829 1047 1396 1658 2094 2487 3316 4188 4537 4974 9074 9948 10777 13611 18148 21554 27222 32331 43108 54444 64662 129324 289321 578642 867963 1157284 1735926 3471852 3761173 7522346 11283519 15044692 22567038 45134076