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94048128 = 273447193
BaseRepresentation
bin1011001101100…
…00111110000000
320112222010210000
411212300332000
5143034020003
613155440000
72221252536
oct546607600
9215863700
1094048128
11490a6829
12275b6000
131663b6a5
14c6c2156
1583cb1a3
hex59b0f80

94048128 has 160 divisors (see below), whose sum is σ = 287321760. Its totient is φ = 30523392.

The previous prime is 94048121. The next prime is 94048133. The reversal of 94048128 is 82184049.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 94048092 and 94048101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94048121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 487200 + ... + 487392.

It is an arithmetic number, because the mean of its divisors is an integer number (1795761).

Almost surely, 294048128 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 94048128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143660880).

94048128 is an abundant number, since it is smaller than the sum of its proper divisors (193273632).

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

94048128 is a wasteful number, since it uses less digits than its factorization.

94048128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 94048128 is about 9697.8414093034. The cubic root of 94048128 is about 454.7611804712.

The spelling of 94048128 in words is "ninety-four million, forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 193 216 282 288 324 376 384 386 423 432 564 576 579 648 752 772 846 864 1128 1152 1158 1269 1296 1504 1544 1692 1728 1737 2256 2316 2538 2592 3008 3088 3384 3456 3474 3807 4512 4632 5076 5184 5211 6016 6176 6768 6948 7614 9024 9071 9264 10152 10368 10422 12352 13536 13896 15228 15633 18048 18142 18528 20304 20844 24704 27072 27213 27792 30456 31266 36284 37056 40608 41688 54144 54426 55584 60912 62532 72568 74112 81216 81639 83376 108852 111168 121824 125064 145136 162432 163278 166752 217704 222336 243648 244917 250128 290272 326556 333504 435408 487296 489834 500256 580544 653112 667008 734751 870816 979668 1000512 1161088 1306224 1469502 1741632 1959336 2001024 2612448 2939004 3483264 3918672 5224896 5878008 7837344 10449792 11756016 15674688 23512032 31349376 47024064 94048128