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4793914080 = 2532514922343
BaseRepresentation
bin1000111011011110…
…10101001011100000
3110101002121001211100
410131233111023200
534304220222310
62111410114400
7226540411614
oct43557251340
913332531740
104793914080
11204004866a
12b1957ba00
135b5253467
14336977344
151d0ce8ec0
hex11dbd52e0

4793914080 has 144 divisors (see below), whose sum is σ = 16469762400. Its totient is φ = 1269740544.

The previous prime is 4793914063. The next prime is 4793914091. The reversal of 4793914080 is 804193974.

4793914080 is a `hidden beast` number, since 479 + 39 + 140 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×47939140802 = 45963224412844492800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203389 + ... + 225731.

It is an arithmetic number, because the mean of its divisors is an integer number (114373350).

Almost surely, 24793914080 is an apocalyptic number.

4793914080 is a gapful number since it is divisible by the number (40) 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 4793914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8234881200).

4793914080 is an abundant number, since it is smaller than the sum of its proper divisors (11675848320).

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

4793914080 is a wasteful number, since it uses less digits than its factorization.

4793914080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22513 (or 22502 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4793914080 is about 69238.0970275758. The cubic root of 4793914080 is about 1686.1521035674.

The spelling of 4793914080 in words is "four billion, seven hundred ninety-three million, nine hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 149 160 180 240 288 298 360 447 480 596 720 745 894 1192 1341 1440 1490 1788 2235 2384 2682 2980 3576 4470 4768 5364 5960 6705 7152 8940 10728 11920 13410 14304 17880 21456 22343 23840 26820 35760 42912 44686 53640 67029 71520 89372 107280 111715 134058 178744 201087 214560 223430 268116 335145 357488 402174 446860 536232 670290 714976 804348 893720 1005435 1072464 1340580 1608696 1787440 2010870 2144928 2681160 3217392 3329107 3574880 4021740 5362320 6434784 6658214 8043480 9987321 10724640 13316428 16086960 16645535 19974642 26632856 29961963 32173920 33291070 39949284 49936605 53265712 59923926 66582140 79898568 99873210 106531424 119847852 133164280 149809815 159797136 199746420 239695704 266328560 299619630 319594272 399492840 479391408 532657120 599239260 798985680 958782816 1198478520 1597971360 2396957040 4793914080