Search a number
-
+
45304578 = 2321133161
BaseRepresentation
bin1010110011010…
…0101100000010
310011020201012100
42230310230002
543044221303
64255011230
71060040214
oct254645402
9104221170
1045304578
1123634000
1213209b16
139503157
1460345b4
153e9d8a3
hex2b34b02

45304578 has 96 divisors (see below), whose sum is σ = 113278464. Its totient is φ = 13068000.

The previous prime is 45304577. The next prime is 45304591. The reversal of 45304578 is 87540354.

It is not an unprimeable number, because it can be changed into a prime (45304577) 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 47 ways as a sum of consecutive naturals, for example, 742668 + ... + 742728.

It is an arithmetic number, because the mean of its divisors is an integer number (1179984).

Almost surely, 245304578 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45304578, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56639232).

45304578 is an abundant number, since it is smaller than the sum of its proper divisors (67973886).

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

45304578 is a wasteful number, since it uses less digits than its factorization.

45304578 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 45304578 is about 6730.8675518094. The cubic root of 45304578 is about 356.4900092734.

The spelling of 45304578 in words is "forty-five million, three hundred four thousand, five hundred seventy-eight".

Divisors: 1 2 3 6 9 11 18 22 31 33 61 62 66 93 99 121 122 183 186 198 242 279 341 363 366 549 558 671 682 726 1023 1089 1098 1331 1342 1891 2013 2046 2178 2662 3069 3751 3782 3993 4026 5673 6039 6138 7381 7502 7986 11253 11346 11979 12078 14762 17019 20801 22143 22506 23958 33759 34038 41261 41602 44286 62403 66429 67518 81191 82522 123783 124806 132858 162382 187209 228811 243573 247566 371349 374418 457622 487146 686433 730719 742698 1372866 1461438 2059299 2516921 4118598 5033842 7550763 15101526 22652289 45304578