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889942720 = 26529412339
BaseRepresentation
bin110101000010110…
…111001011000000
32022000120202220111
4311002313023000
53310311131340
6224150321104
731024250122
oct6502671300
92260522814
10889942720
11417393157
1220a059194
131124b4a34
148629d212
15531e1aea
hex350b72c0

889942720 has 112 divisors (see below), whose sum is σ = 2246680800. Its totient is φ = 335175680.

The previous prime is 889942649. The next prime is 889942723. The reversal of 889942720 is 27249988.

It is a super-3 number, since 3×8899427203 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (889942723) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 379311 + ... + 381649.

It is an arithmetic number, because the mean of its divisors is an integer number (20059650).

Almost surely, 2889942720 is an apocalyptic number.

889942720 is a gapful number since it is divisible by the number (80) 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 889942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123340400).

889942720 is an abundant number, since it is smaller than the sum of its proper divisors (1356738080).

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

889942720 is a wasteful number, since it uses less digits than its factorization.

889942720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2426 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 889942720 is about 29831.9077499244. The cubic root of 889942720 is about 961.8795353441.

The spelling of 889942720 in words is "eight hundred eighty-nine million, nine hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 41 58 64 80 82 116 145 160 164 205 232 290 320 328 410 464 580 656 820 928 1160 1189 1312 1640 1856 2320 2339 2378 2624 3280 4640 4678 4756 5945 6560 9280 9356 9512 11695 11890 13120 18712 19024 23390 23780 37424 38048 46780 47560 67831 74848 76096 93560 95120 95899 135662 149696 187120 190240 191798 271324 339155 374240 380480 383596 479495 542648 678310 748480 767192 958990 1085296 1356620 1534384 1917980 2170592 2713240 2781071 3068768 3835960 4341184 5426480 5562142 6137536 7671920 10852960 11124284 13905355 15343840 21705920 22248568 27810710 30687680 44497136 55621420 88994272 111242840 177988544 222485680 444971360 889942720