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45799056 = 24324767101
BaseRepresentation
bin1010111010110…
…1011010010000
310012011211111100
42232231122100
543211032211
64313344400
71064166642
oct256553220
9105154440
1045799056
1123941566
1213408100
139647244
146122892
15404a156
hex2bad690

45799056 has 120 divisors (see below), whose sum is σ = 134169984. Its totient is φ = 14572800.

The previous prime is 45799051. The next prime is 45799057. The reversal of 45799056 is 65099754.

It is a happy number.

45799056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×457990562 = 4195107060982272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45799051) 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 23 ways as a sum of consecutive naturals, for example, 453406 + ... + 453506.

Almost surely, 245799056 is an apocalyptic number.

It is a pronic number, being equal to 6767×6768.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45799056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67084992).

45799056 is an abundant number, since it is smaller than the sum of its proper divisors (88370928).

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

45799056 is a wasteful number, since it uses less digits than its factorization.

45799056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 45799056 is about 6767.4999815294. The cubic root of 45799056 is about 357.7822922357.

The spelling of 45799056 in words is "forty-five million, seven hundred ninety-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 67 72 94 101 134 141 144 188 201 202 268 282 303 376 402 404 423 536 564 603 606 752 804 808 846 909 1072 1128 1206 1212 1608 1616 1692 1818 2256 2412 2424 3149 3216 3384 3636 4747 4824 4848 6298 6767 6768 7272 9447 9494 9648 12596 13534 14241 14544 18894 18988 20301 25192 27068 28341 28482 37788 37976 40602 42723 50384 54136 56682 56964 60903 75576 75952 81204 85446 108272 113364 113928 121806 151152 162408 170892 226728 227856 243612 318049 324816 341784 453456 487224 636098 683568 954147 974448 1272196 1908294 2544392 2862441 3816588 5088784 5724882 7633176 11449764 15266352 22899528 45799056