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45066312 = 23323161331
BaseRepresentation
bin1010101111101…
…0100001001000
310010210121100200
42223322201020
543014110222
64245532200
71055025444
oct253724110
9103717320
1045066312
1123490a95
1213114060
13944b875
145db1824
153e52eac
hex2afa848

45066312 has 96 divisors (see below), whose sum is σ = 128444160. Its totient is φ = 14256000.

The previous prime is 45066289. The next prime is 45066317. The reversal of 45066312 is 21366054.

It is not an unprimeable number, because it can be changed into a prime (45066317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135987 + ... + 136317.

It is an arithmetic number, because the mean of its divisors is an integer number (1337960).

Almost surely, 245066312 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 45066312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64222080).

45066312 is an abundant number, since it is smaller than the sum of its proper divisors (83377848).

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

45066312 is a wasteful number, since it uses less digits than its factorization.

45066312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 45066312 is about 6713.1447176417. The cubic root of 45066312 is about 355.8639592985.

The spelling of 45066312 in words is "forty-five million, sixty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 61 62 72 93 122 124 183 186 244 248 279 331 366 372 488 549 558 662 732 744 993 1098 1116 1324 1464 1891 1986 2196 2232 2648 2979 3782 3972 4392 5673 5958 7564 7944 10261 11346 11916 15128 17019 20191 20522 22692 23832 30783 34038 40382 41044 45384 60573 61566 68076 80764 82088 92349 121146 123132 136152 161528 181719 184698 242292 246264 363438 369396 484584 625921 726876 738792 1251842 1453752 1877763 2503684 3755526 5007368 5633289 7511052 11266578 15022104 22533156 45066312