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4193904096 = 253227752571
BaseRepresentation
bin1111100111111001…
…1110010111100000
3101211021120101212100
43321332132113200
532042114412341
61532053530400
7205633411434
oct37176362740
911737511770
104193904096
111862393248
12990643a00
1351ab53175
142badca9c4
151982c83b6
hexf9f9e5e0

4193904096 has 72 divisors (see below), whose sum is σ = 11969698104. Its totient is φ = 1392894720.

The previous prime is 4193904059. The next prime is 4193904119. The reversal of 4193904096 is 6904093914.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53491 + ... + 106061.

It is an arithmetic number, because the mean of its divisors is an integer number (166245807).

Almost surely, 24193904096 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 4193904096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984849052).

4193904096 is an abundant number, since it is smaller than the sum of its proper divisors (7775794008).

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

4193904096 is a wasteful number, since it uses less digits than its factorization.

4193904096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52864 (or 52853 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 4193904096 is about 64760.3589860340. The cubic root of 4193904096 is about 1612.6476882216.

The spelling of 4193904096 in words is "four billion, one hundred ninety-three million, nine hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 277 288 554 831 1108 1662 2216 2493 3324 4432 4986 6648 8864 9972 13296 19944 26592 39888 52571 79776 105142 157713 210284 315426 420568 473139 630852 841136 946278 1261704 1682272 1892556 2523408 3785112 5046816 7570224 14562167 15140448 29124334 43686501 58248668 87373002 116497336 131059503 174746004 232994672 262119006 349492008 465989344 524238012 698984016 1048476024 1397968032 2096952048 4193904096