Search a number
-
+
45151128 = 23331131613
BaseRepresentation
bin1010110000111…
…1001110011000
310010221220201000
42230033032120
543024314003
64251425000
71055530641
oct254171630
9103856630
1045151128
1123539790
1213155160
13947b359
145dd46c8
153e6d1a3
hex2b0f398

45151128 has 128 divisors (see below), whose sum is σ = 141465600. Its totient is φ = 13219200.

The previous prime is 45151123. The next prime is 45151147. The reversal of 45151128 is 82115154.

45151128 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45151123) 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, 73350 + ... + 73962.

It is an arithmetic number, because the mean of its divisors is an integer number (1105200).

Almost surely, 245151128 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 45151128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70732800).

45151128 is an abundant number, since it is smaller than the sum of its proper divisors (96314472).

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

45151128 is a wasteful number, since it uses less digits than its factorization.

45151128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its digits is 1600, while the sum is 27.

The square root of 45151128 is about 6719.4589067871. The cubic root of 45151128 is about 356.0870678761.

The spelling of 45151128 in words is "forty-five million, one hundred fifty-one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 613 682 744 792 837 1023 1116 1188 1226 1364 1674 1839 2046 2232 2376 2452 2728 3069 3348 3678 4092 4904 5517 6138 6696 6743 7356 8184 9207 11034 12276 13486 14712 16551 18414 19003 20229 22068 24552 26972 33102 36828 38006 40458 44136 53944 57009 60687 66204 73656 76012 80916 114018 121374 132408 152024 161832 171027 182061 209033 228036 242748 342054 364122 418066 456072 485496 513081 627099 684108 728244 836132 1026162 1254198 1368216 1456488 1672264 1881297 2052324 2508396 3762594 4104648 5016792 5643891 7525188 11287782 15050376 22575564 45151128