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945482112 = 2733793463
BaseRepresentation
bin111000010110101…
…110100110000000
32102220002110122000
4320112232212000
53414020411422
6233452544000
732300315421
oct7026564600
92386073560
10945482112
11445777783
12224782000
13120b5c593
148d7d9648
1558012cac
hex385ae980

945482112 has 128 divisors (see below), whose sum is σ = 2826624000. Its totient is φ = 311081472.

The previous prime is 945482101. The next prime is 945482159. The reversal of 945482112 is 211284549.

945482112 is a `hidden beast` number, since 94 + 548 + 21 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9454821122 = 1787872848223961088, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 271293 + ... + 274755.

It is an arithmetic number, because the mean of its divisors is an integer number (22083000).

Almost surely, 2945482112 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 945482112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413312000).

945482112 is an abundant number, since it is smaller than the sum of its proper divisors (1881141888).

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

945482112 is a wasteful number, since it uses less digits than its factorization.

945482112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3547 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 945482112 is about 30748.6928502660. The cubic root of 945482112 is about 981.4867451426.

The spelling of 945482112 in words is "nine hundred forty-five million, four hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 288 316 384 432 474 576 632 711 864 948 1152 1264 1422 1728 1896 2133 2528 2844 3456 3463 3792 4266 5056 5688 6926 7584 8532 10112 10389 11376 13852 15168 17064 20778 22752 27704 30336 31167 34128 41556 45504 55408 62334 68256 83112 91008 93501 110816 124668 136512 166224 187002 221632 249336 273024 273577 332448 374004 443264 498672 547154 664896 748008 820731 997344 1094308 1329792 1496016 1641462 1994688 2188616 2462193 2992032 3282924 3989376 4377232 4924386 5984064 6565848 7386579 8754464 9848772 11968128 13131696 14773158 17508928 19697544 26263392 29546316 35017856 39395088 52526784 59092632 78790176 105053568 118185264 157580352 236370528 315160704 472741056 945482112