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45751068 = 2235112389
BaseRepresentation
bin1010111010000…
…1101100011100
310012002101200000
42232201230130
543203013233
64312334300
71063610016
oct256415434
9105071600
1045751068
1123909500
12133a4390
13962b44c
14610d1b6
15403ad13
hex2ba1b1c

45751068 has 108 divisors (see below), whose sum is σ = 132164760. Its totient is φ = 13828320.

The previous prime is 45751049. The next prime is 45751091. The reversal of 45751068 is 86015754.

45751068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 117418 + ... + 117806.

Almost surely, 245751068 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 45751068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66082380).

45751068 is an abundant number, since it is smaller than the sum of its proper divisors (86413692).

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

45751068 is a wasteful number, since it uses less digits than its factorization.

45751068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45751068 is about 6763.9535776053. The cubic root of 45751068 is about 357.6572877906.

The spelling of 45751068 in words is "forty-five million, seven hundred fifty-one thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 389 396 484 486 594 726 778 891 972 1089 1167 1188 1452 1556 1782 2178 2334 2673 3267 3501 3564 4279 4356 4668 5346 6534 7002 8558 9801 10503 10692 12837 13068 14004 17116 19602 21006 25674 29403 31509 38511 39204 42012 47069 51348 58806 63018 77022 94138 94527 115533 117612 126036 141207 154044 188276 189054 231066 282414 346599 378108 423621 462132 564828 693198 847242 1039797 1270863 1386396 1694484 2079594 2541726 3812589 4159188 5083452 7625178 11437767 15250356 22875534 45751068