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94806272 = 2811131257
BaseRepresentation
bin1011010011010…
…10000100000000
320121101122202102
411221222010000
5143232300042
613224005532
72230561061
oct551520400
9217348672
1094806272
11495743a0
12279008a8
13168457b2
14c83c568
1584cab32
hex5a6a100

94806272 has 72 divisors (see below), whose sum is σ = 208831392. Its totient is φ = 42598400.

The previous prime is 94806259. The next prime is 94806287. The reversal of 94806272 is 27260849.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368768 + ... + 369024.

It is an arithmetic number, because the mean of its divisors is an integer number (2900436).

Almost surely, 294806272 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 94806272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104415696).

94806272 is an abundant number, since it is smaller than the sum of its proper divisors (114025120).

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

94806272 is a wasteful number, since it uses less digits than its factorization.

94806272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The square root of 94806272 is about 9736.8512364111. The cubic root of 94806272 is about 455.9798903618.

The spelling of 94806272 in words is "ninety-four million, eight hundred six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 176 256 257 262 352 514 524 704 1028 1048 1408 1441 2056 2096 2816 2827 2882 4112 4192 5654 5764 8224 8384 11308 11528 16448 16768 22616 23056 32896 33536 33667 45232 46112 65792 67334 90464 92224 134668 180928 184448 269336 361856 368896 370337 538672 723712 740674 1077344 1481348 2154688 2962696 4309376 5925392 8618752 11850784 23701568 47403136 94806272