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4430250240 = 28351388747
BaseRepresentation
bin1000010000001000…
…00100000100000000
3102102202022000211020
410020010010010000
533033121001430
62011335345440
7214533335313
oct41004040400
912382260736
104430250240
111973840639
12a37822280
13557ac4b60
1430055097a
151ade11b10
hex108104100

4430250240 has 144 divisors (see below), whose sum is σ = 15237676608. Its totient is φ = 1090510848.

The previous prime is 4430250199. The next prime is 4430250263. The reversal of 4430250240 is 420520344.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 4430250240.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5547 + ... + 94293.

Almost surely, 24430250240 is an apocalyptic number.

4430250240 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 4430250240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618838304).

4430250240 is an abundant number, since it is smaller than the sum of its proper divisors (10807426368).

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

4430250240 is a wasteful number, since it uses less digits than its factorization.

4430250240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88784 (or 88770 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 4430250240 is about 66560.1249998826. The cubic root of 4430250240 is about 1642.3892203502.

Adding to 4430250240 its reverse (420520344), we get a palindrome (4850770584).

The spelling of 4430250240 in words is "four billion, four hundred thirty million, two hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1248 1280 1560 1664 1920 2080 2496 3120 3328 3840 4160 4992 6240 8320 9984 12480 16640 24960 49920 88747 177494 266241 354988 443735 532482 709976 887470 1064964 1153711 1331205 1419952 1774940 2129928 2307422 2662410 2839904 3461133 3549880 4259856 4614844 5324820 5679808 5768555 6922266 7099760 8519712 9229688 10649640 11359616 11537110 13844532 14199520 17039424 17305665 18459376 21299280 22719232 23074220 27689064 28399040 34078848 34611330 36918752 42598560 46148440 55378128 56798080 68157696 69222660 73837504 85197120 92296880 110756256 113596160 138445320 147675008 170394240 184593760 221512512 276890640 295350016 340788480 369187520 443025024 553781280 738375040 886050048 1107562560 1476750080 2215125120 4430250240