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861445440 = 26325299113
BaseRepresentation
bin110011010110001…
…001110101000000
32020000221221222200
4303112021311000
53231012223230
6221251433200
730230110512
oct6326116500
92200857880
10861445440
11402299789
122005b5800
13109617a3b
14825a1bb2
1550963160
hex33589d40

861445440 has 84 divisors (see below), whose sum is σ = 2963023284. Its totient is φ = 229718016.

The previous prime is 861445373. The next prime is 861445483. The reversal of 861445440 is 44544168.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 245611584 + 615833856 = 15672^2 + 24816^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 861445395 and 861445404.

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 11 ways as a sum of consecutive naturals, for example, 146677 + ... + 152436.

Almost surely, 2861445440 is an apocalyptic number.

861445440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

861445440 is an abundant number, since it is smaller than the sum of its proper divisors (2101577844).

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

861445440 is a wasteful number, since it uses less digits than its factorization.

861445440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299136 (or 299123 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 861445440 is about 29350.3907980797. The cubic root of 861445440 is about 951.5010213785.

The spelling of 861445440 in words is "eight hundred sixty-one million, four hundred forty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 299113 598226 897339 1196452 1495565 1794678 2392904 2692017 2991130 3589356 4486695 4785808 5384034 5982260 7178712 8973390 9571616 10768068 11964520 13460085 14357424 17946780 19143232 21536136 23929040 26920170 28714848 35893560 43072272 47858080 53840340 57429696 71787120 86144544 95716160 107680680 143574240 172289088 215361360 287148480 430722720 861445440