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94893216 = 25311233907
BaseRepresentation
bin1011010011111…
…11010010100000
320121120002000120
411221333102200
5143243040331
613225520240
72231402415
oct551772240
9217502016
1094893216
1149623750
1227943080
1316876242
14c86210c
1584e6796
hex5a7f4a0

94893216 has 96 divisors (see below), whose sum is σ = 283627008. Its totient is φ = 27498240.

The previous prime is 94893203. The next prime is 94893223. The reversal of 94893216 is 61239849.

It is a tau number, because it is divible by the number of its divisors (96).

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, 22335 + ... + 26241.

It is an arithmetic number, because the mean of its divisors is an integer number (2954448).

Almost surely, 294893216 is an apocalyptic number.

94893216 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 94893216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141813504).

94893216 is an abundant number, since it is smaller than the sum of its proper divisors (188733792).

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

94893216 is a wasteful number, since it uses less digits than its factorization.

94893216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3954 (or 3946 counting only the distinct ones).

The product of its digits is 93312, while the sum is 42.

The square root of 94893216 is about 9741.3149009772. The cubic root of 94893216 is about 456.1192362859.

The spelling of 94893216 in words is "ninety-four million, eight hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 3907 4048 6072 7814 8096 11721 12144 15628 23442 24288 31256 42977 46884 62512 85954 89861 93768 125024 128931 171908 179722 187536 257862 269583 343816 359444 375072 515724 539166 687632 718888 988471 1031448 1078332 1375264 1437776 1976942 2062896 2156664 2875552 2965413 3953884 4125792 4313328 5930826 7907768 8626656 11861652 15815536 23723304 31631072 47446608 94893216