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94684416 = 283314197
BaseRepresentation
bin1011010010011…
…00010100000000
320121011110121020
411221030110000
5143214400131
613221225440
72226542601
oct551142400
9217143536
1094684416
11494a0892
1227862280
13168021a8
14c809da8
1584a4996
hex5a4c500

94684416 has 144 divisors (see below), whose sum is σ = 269219328. Its totient is φ = 29491200.

The previous prime is 94684357. The next prime is 94684427. The reversal of 94684416 is 61448649.

It is a super-2 number, since 2×946844162 = 17930277266522112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976080 + ... + 976176.

Almost surely, 294684416 is an apocalyptic number.

94684416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94684416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134609664).

94684416 is an abundant number, since it is smaller than the sum of its proper divisors (174534912).

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

94684416 is a wasteful number, since it uses less digits than its factorization.

94684416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 94684416 is about 9730.5917600113. The cubic root of 94684416 is about 455.7844472155.

The spelling of 94684416 in words is "ninety-four million, six hundred eighty-four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 41 48 62 64 82 93 96 97 123 124 128 164 186 192 194 246 248 256 291 328 372 384 388 492 496 582 656 744 768 776 984 992 1164 1271 1312 1488 1552 1968 1984 2328 2542 2624 2976 3007 3104 3813 3936 3968 3977 4656 5084 5248 5952 6014 6208 7626 7872 7936 7954 9021 9312 10168 10496 11904 11931 12028 12416 15252 15744 15908 18042 18624 20336 23808 23862 24056 24832 30504 31488 31816 36084 37248 40672 47724 48112 61008 63632 72168 74496 81344 95448 96224 122016 123287 127264 144336 162688 190896 192448 244032 246574 254528 288672 325376 369861 381792 384896 488064 493148 509056 577344 739722 763584 769792 976128 986296 1018112 1154688 1479444 1527168 1972592 2309376 2958888 3054336 3945184 5917776 7890368 11835552 15780736 23671104 31561472 47342208 94684416