Search a number
-
+
45100908 = 22331931709
BaseRepresentation
bin1010110000001…
…0111101101100
310010212100211000
42230002331230
543021212113
64250400300
71055231346
oct254027554
9103770730
1045100908
1123504a86
1213130090
139461538
145dc0296
153e5d373
hex2b02f6c

45100908 has 96 divisors (see below), whose sum is σ = 127232000. Its totient is φ = 13763520.

The previous prime is 45100901. The next prime is 45100967. The reversal of 45100908 is 80900154.

45100908 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (45100901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63258 + ... + 63966.

Almost surely, 245100908 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 45100908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63616000).

45100908 is an abundant number, since it is smaller than the sum of its proper divisors (82131092).

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

45100908 is a wasteful number, since it uses less digits than its factorization.

45100908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 45100908 is about 6715.7209590631. The cubic root of 45100908 is about 355.9549978885.

The spelling of 45100908 in words is "forty-five million, one hundred thousand, nine hundred eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 31 36 38 54 57 62 76 93 108 114 124 171 186 228 279 342 372 513 558 589 684 709 837 1026 1116 1178 1418 1674 1767 2052 2127 2356 2836 3348 3534 4254 5301 6381 7068 8508 10602 12762 13471 15903 19143 21204 21979 25524 26942 31806 38286 40413 43958 53884 63612 65937 76572 80826 87916 121239 131874 161652 197811 242478 263748 363717 395622 417601 484956 593433 727434 791244 835202 1186866 1252803 1454868 1670404 2373732 2505606 3758409 5011212 7516818 11275227 15033636 22550454 45100908