Search a number
-
+
45514640 = 24543101131
BaseRepresentation
bin1010110110011…
…1111110010000
310011122101100102
42231213332100
543122432030
64303311532
71061603513
oct255477620
9104571312
1045514640
1123767906
12132ab5a8
139577952
14608ad7a
153ee0c45
hex2b67f90

45514640 has 80 divisors (see below), whose sum is σ = 110189376. Its totient is φ = 17472000.

The previous prime is 45514619. The next prime is 45514663. The reversal of 45514640 is 4641554.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347375 + ... + 347505.

Almost surely, 245514640 is an apocalyptic number.

45514640 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 45514640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55094688).

45514640 is an abundant number, since it is smaller than the sum of its proper divisors (64674736).

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

45514640 is a wasteful number, since it uses less digits than its factorization.

45514640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 45514640 is about 6746.4538833375. The cubic root of 45514640 is about 357.0401344193.

The spelling of 45514640 in words is "forty-five million, five hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 101 131 172 202 215 262 344 404 430 505 524 655 688 808 860 1010 1048 1310 1616 1720 2020 2096 2620 3440 4040 4343 5240 5633 8080 8686 10480 11266 13231 17372 21715 22532 26462 28165 34744 43430 45064 52924 56330 66155 69488 86860 90128 105848 112660 132310 173720 211696 225320 264620 347440 450640 529240 568933 1058480 1137866 2275732 2844665 4551464 5689330 9102928 11378660 22757320 45514640