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4429288320 = 27352979549
BaseRepresentation
bin1000010000000000…
…11001001110000000
3102102200111011022120
410020000121032000
533032344211240
62011303004240
7214522221012
oct41000311600
912380434276
104429288320
111973243966
12a37439680
13557849082
143003801b2
151adcc1ad0
hex108019380

4429288320 has 128 divisors (see below), whose sum is σ = 14605380000. Its totient is φ = 1140400128.

The previous prime is 4429288313. The next prime is 4429288337. The reversal of 4429288320 is 238829244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 15906 + ... + 95454.

Almost surely, 24429288320 is an apocalyptic number.

4429288320 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 4429288320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302690000).

4429288320 is an abundant number, since it is smaller than the sum of its proper divisors (10176091680).

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

4429288320 is a wasteful number, since it uses less digits than its factorization.

4429288320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79600 (or 79588 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 4429288320 is about 66552.8986596377. The cubic root of 4429288320 is about 1642.2703435894.

The spelling of 4429288320 in words is "four billion, four hundred twenty-nine million, two hundred eighty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1392 1740 1856 1920 2320 2784 3480 3712 4640 5568 6960 9280 11136 13920 18560 27840 55680 79549 159098 238647 318196 397745 477294 636392 795490 954588 1193235 1272784 1590980 1909176 2306921 2386470 2545568 3181960 3818352 4613842 4772940 5091136 6363920 6920763 7636704 9227684 9545880 10182272 11534605 12727840 13841526 15273408 18455368 19091760 23069210 25455680 27683052 30546816 34603815 36910736 38183520 46138420 50911360 55366104 69207630 73821472 76367040 92276840 110732208 138415260 147642944 152734080 184553680 221464416 276830520 295285888 369107360 442928832 553661040 738214720 885857664 1107322080 1476429440 2214644160 4429288320