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45308080 = 2456779107
BaseRepresentation
bin1010110011010…
…1100010110000
310011020220000001
42230311202300
543044324310
64255035344
71060053346
oct254654260
9104226001
1045308080
11236366a4
121320bb54
13950491c
146035996
153e9e93a
hex2b358b0

45308080 has 80 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 17462016.

The previous prime is 45308041. The next prime is 45308083. The reversal of 45308080 is 8080354.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×453080802 = 4105644226572800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45308083) 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, 423387 + ... + 423493.

It is an arithmetic number, because the mean of its divisors is an integer number (1365984).

Almost surely, 245308080 is an apocalyptic number.

45308080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45308080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

45308080 is an abundant number, since it is smaller than the sum of its proper divisors (63970640).

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

45308080 is a wasteful number, since it uses less digits than its factorization.

45308080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 45308080 is about 6731.1276915536. The cubic root of 45308080 is about 356.4991944809.

The spelling of 45308080 in words is "forty-five million, three hundred eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 67 79 80 107 134 158 214 268 316 335 395 428 535 536 632 670 790 856 1070 1072 1264 1340 1580 1712 2140 2680 3160 4280 5293 5360 6320 7169 8453 8560 10586 14338 16906 21172 26465 28676 33812 35845 42265 42344 52930 57352 67624 71690 84530 84688 105860 114704 135248 143380 169060 211720 286760 338120 423440 566351 573520 676240 1132702 2265404 2831755 4530808 5663510 9061616 11327020 22654040 45308080