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4392296928 = 25351075279
BaseRepresentation
bin1000001011100110…
…10010000111100000
3102100002212210200000
410011303102013200
532443412000203
62003502100000
7213562623255
oct40563220740
912302783600
104392296928
111954378768
12a26b7a600
1354cc96a86
142d94b142c
151aa9164a3
hex105cd21e0

4392296928 has 144 divisors (see below), whose sum is σ = 13076743680. Its totient is φ = 1450141056.

The previous prime is 4392296917. The next prime is 4392296983. The reversal of 4392296928 is 8296922934.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829393 + ... + 834671.

It is an arithmetic number, because the mean of its divisors is an integer number (90810720).

Almost surely, 24392296928 is an apocalyptic number.

4392296928 is a gapful number since it is divisible by the number (48) 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 4392296928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6538371840).

4392296928 is an abundant number, since it is smaller than the sum of its proper divisors (8684446752).

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

4392296928 is a wasteful number, since it uses less digits than its factorization.

4392296928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5411 (or 5391 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 4392296928 is about 66274.4062817616. The cubic root of 4392296928 is about 1637.6857264467.

The spelling of 4392296928 in words is "four billion, three hundred ninety-two million, two hundred ninety-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 107 108 144 162 214 216 243 288 321 324 428 432 486 642 648 856 864 963 972 1284 1296 1712 1926 1944 2568 2592 2889 3424 3852 3888 5136 5279 5778 7704 7776 8667 10272 10558 11556 15408 15837 17334 21116 23112 26001 30816 31674 34668 42232 46224 47511 52002 63348 69336 84464 92448 95022 104004 126696 138672 142533 168928 190044 208008 253392 277344 285066 380088 416016 427599 506784 564853 570132 760176 832032 855198 1129706 1140264 1282797 1520352 1694559 1710396 2259412 2280528 2565594 3389118 3420792 4518824 4561056 5083677 5131188 6778236 6841584 9037648 10167354 10262376 13556472 13683168 15251031 18075296 20334708 20524752 27112944 30502062 40669416 41049504 45753093 54225888 61004124 81338832 91506186 122008248 137259279 162677664 183012372 244016496 274518558 366024744 488032992 549037116 732049488 1098074232 1464098976 2196148464 4392296928