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445133934 = 23372295801
BaseRepresentation
bin11010100010000…
…011010001101110
31011000121010222000
4122202003101232
51402423241214
6112100433130
714013401400
oct3242032156
91130533860
10445133934
112092a2793
121050a87a6
13712b4b7b
1443192b70
152912b809
hex1a88346e

445133934 has 96 divisors (see below), whose sum is σ = 1190570400. Its totient is φ = 122774400.

The previous prime is 445133921. The next prime is 445133947. The reversal of 445133934 is 439331544.

It is an interprime number because it is at equal distance from previous prime (445133921) and next prime (445133947).

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 47 ways as a sum of consecutive naturals, for example, 73834 + ... + 79634.

It is an arithmetic number, because the mean of its divisors is an integer number (12401775).

Almost surely, 2445133934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445133934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595285200).

445133934 is an abundant number, since it is smaller than the sum of its proper divisors (745436466).

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

445133934 is a wasteful number, since it uses less digits than its factorization.

445133934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5855 (or 5842 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 445133934 is about 21098.1974111534. The cubic root of 445133934 is about 763.5372587296.

The spelling of 445133934 in words is "four hundred forty-five million, one hundred thirty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 882 1218 1323 1421 1566 1827 2646 2842 3654 4263 5481 5801 8526 10962 11602 12789 17403 25578 34806 38367 40607 52209 76734 81214 104418 121821 156627 168229 243642 284249 313254 336458 365463 504687 568498 730926 852747 1009374 1096389 1177603 1514061 1705494 2192778 2355206 2558241 3028122 3532809 4542183 5116482 7065618 7674723 8243221 9084366 10598427 15349446 16486442 21196854 24729663 31795281 49459326 63590562 74188989 148377978 222566967 445133934