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45694656 = 2632721619
BaseRepresentation
bin1010111001001…
…1111011000000
310011222112021200
42232103323000
543144212111
64311221200
71063253400
oct256237300
9104875250
1045694656
1123880087
1213377800
13960b877
1460d6800
154029256
hex2b93ec0

45694656 has 126 divisors (see below), whose sum is σ = 152453340. Its totient is φ = 13047552.

The previous prime is 45694643. The next prime is 45694687. The reversal of 45694656 is 65649654.

45694656 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 (126).

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 17 ways as a sum of consecutive naturals, for example, 27415 + ... + 29033.

Almost surely, 245694656 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 45694656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76226670).

45694656 is an abundant number, since it is smaller than the sum of its proper divisors (106758684).

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

45694656 is a wasteful number, since it uses less digits than its factorization.

45694656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651 (or 1631 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 45694656 is about 6759.7822450135. The cubic root of 45694656 is about 357.5102277544.

The spelling of 45694656 in words is "forty-five million, six hundred ninety-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1619 1764 2016 2352 3136 3238 3528 4032 4704 4857 6476 7056 9408 9714 11333 12952 14112 14571 19428 22666 25904 28224 29142 33999 38856 45332 51808 58284 67998 77712 79331 90664 101997 103616 116568 135996 155424 158662 181328 203994 233136 237993 271992 310848 317324 362656 407988 466272 475986 543984 634648 713979 725312 815976 932544 951972 1087968 1269296 1427958 1631952 1903944 2175936 2538592 2855916 3263904 3807888 5077184 5711832 6527808 7615776 11423664 15231552 22847328 45694656