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45066208 = 25112103113
BaseRepresentation
bin1010101111101…
…0011111100000
310010210121012211
42223322133200
543014104313
64245531504
71055025235
oct253723740
9103717184
1045066208
1123490a00
1213113b94
13944b7c5
145db178c
153e52e3d
hex2afa7e0

45066208 has 72 divisors (see below), whose sum is σ = 99341424. Its totient is φ = 20106240.

The previous prime is 45066199. The next prime is 45066209. The reversal of 45066208 is 80266054.

It is a self number, because there is not a number n which added to its sum of digits gives 45066208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45066209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398760 + ... + 398872.

It is an arithmetic number, because the mean of its divisors is an integer number (1379742).

Almost surely, 245066208 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 45066208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49670712).

45066208 is an abundant number, since it is smaller than the sum of its proper divisors (54275216).

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

45066208 is a wasteful number, since it uses less digits than its factorization.

45066208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 45066208 is about 6713.1369716400. The cubic root of 45066208 is about 355.8636855546.

The spelling of 45066208 in words is "forty-five million, sixty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 113 121 176 206 226 242 352 412 452 484 824 904 968 1133 1243 1648 1808 1936 2266 2486 3296 3616 3872 4532 4972 9064 9944 11639 12463 13673 18128 19888 23278 24926 27346 36256 39776 46556 49852 54692 93112 99704 109384 128029 186224 199408 218768 256058 372448 398816 437536 512116 1024232 1408319 2048464 2816638 4096928 5633276 11266552 22533104 45066208