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4431982240 = 255723172049
BaseRepresentation
bin1000010000010101…
…01010111010100000
3102102212120000200101
410020022222322200
533034041412430
62011440432144
7214554141010
oct41012527240
912385500611
104431982240
111974813944
12a38318654
135582802ca
14300881c40
151ae154dca
hex1082aaea0

4431982240 has 96 divisors (see below), whose sum is σ = 12486700800. Its totient is φ = 1453461504.

The previous prime is 4431982231. The next prime is 4431982241. The reversal of 4431982240 is 422891344.

It is a self number, because there is not a number n which added to its sum of digits gives 4431982240.

It is not an unprimeable number, because it can be changed into a prime (4431982241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60265 + ... + 111784.

It is an arithmetic number, because the mean of its divisors is an integer number (130069800).

Almost surely, 24431982240 is an apocalyptic number.

4431982240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4431982240 is an abundant number, since it is smaller than the sum of its proper divisors (8054718560).

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

4431982240 is a wasteful number, since it uses less digits than its factorization.

4431982240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172094 (or 172086 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 4431982240 is about 66573.1345213668. The cubic root of 4431982240 is about 1642.6032223709.

The spelling of 4431982240 in words is "four billion, four hundred thirty-one million, nine hundred eighty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 12880 25760 172049 344098 688196 860245 1204343 1376392 1720490 2408686 2752784 3440980 3957127 4817372 5505568 6021715 6881960 7914254 9634744 12043430 13763920 15828508 19269488 19785635 24086860 27527840 27699889 31657016 38538976 39571270 48173720 55399778 63314032 79142540 96347440 110799556 126628064 138499445 158285080 192694880 221599112 276998890 316570160 443198224 553997780 633140320 886396448 1107995560 2215991120 4431982240