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445264248 = 2331113137947
BaseRepresentation
bin11010100010100…
…011000101111000
31011000211202201110
4122202203011320
51402441423443
6112103320320
714014453332
oct3242430570
91130752643
10445264248
11209381690
121051500a0
137132c290
14431c8452
1529155233
hex1a8a3178

445264248 has 128 divisors (see below), whose sum is σ = 1318705920. Its totient is φ = 123509760.

The previous prime is 445264247. The next prime is 445264249. The reversal of 445264248 is 842462544.

It is an interprime number because it is at equal distance from previous prime (445264247) and next prime (445264249).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445264247) 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, 469711 + ... + 470657.

It is an arithmetic number, because the mean of its divisors is an integer number (10302390).

Almost surely, 2445264248 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 445264248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659352960).

445264248 is an abundant number, since it is smaller than the sum of its proper divisors (873441672).

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

445264248 is a wasteful number, since it uses less digits than its factorization.

445264248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1113 counting only the distinct ones).

The product of its digits is 245760, while the sum is 39.

The square root of 445264248 is about 21101.2854584739. The cubic root of 445264248 is about 763.6117605658.

The spelling of 445264248 in words is "four hundred forty-five million, two hundred sixty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 137 143 156 264 274 286 312 411 429 548 572 822 858 947 1096 1144 1507 1644 1716 1781 1894 2841 3014 3288 3432 3562 3788 4521 5343 5682 6028 7124 7576 9042 10417 10686 11364 12056 12311 14248 18084 19591 20834 21372 22728 24622 31251 36168 36933 39182 41668 42744 49244 58773 62502 73866 78364 83336 98488 117546 125004 129739 135421 147732 156728 235092 250008 259478 270842 295464 389217 406263 470184 518956 541684 778434 812526 1037912 1083368 1427129 1556868 1625052 1686607 2854258 3113736 3250104 3373214 4281387 5059821 5708516 6746428 8562774 10119642 11417032 13492856 17125548 18552677 20239284 34251096 37105354 40478568 55658031 74210708 111316062 148421416 222632124 445264248