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855484032 = 27313409419
BaseRepresentation
bin110010111111011…
…010011010000000
32012121202002110210
4302333122122000
53223000442112
6220515554120
730125331354
oct6277323200
92177662423
10855484032
113a99978a7
121ba5bb940
1310830b490
148188d464
1550186b3c
hex32fda680

855484032 has 128 divisors (see below), whose sum is σ = 2459016000. Its totient is φ = 261955584.

The previous prime is 855484001. The next prime is 855484037. The reversal of 855484032 is 230484558.

855484032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (855484037) 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, 2041519 + ... + 2041937.

Almost surely, 2855484032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855484032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229508000).

855484032 is an abundant number, since it is smaller than the sum of its proper divisors (1603531968).

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

855484032 is a wasteful number, since it uses less digits than its factorization.

855484032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 855484032 is about 29248.6586359101. The cubic root of 855484032 is about 949.3010674413.

The spelling of 855484032 in words is "eight hundred fifty-five million, four hundred eighty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 409 416 419 624 818 832 838 1227 1248 1257 1636 1664 1676 2454 2496 2514 3272 3352 4908 4992 5028 5317 5447 6544 6704 9816 10056 10634 10894 13088 13408 15951 16341 19632 20112 21268 21788 26176 26816 31902 32682 39264 40224 42536 43576 52352 53632 63804 65364 78528 80448 85072 87152 127608 130728 157056 160896 170144 171371 174304 255216 261456 340288 342742 348608 510432 514113 522912 680576 685484 697216 1020864 1028226 1045824 1370968 2041728 2056452 2091648 2227823 2741936 4112904 4455646 5483872 6683469 8225808 8911292 10967744 13366938 16451616 17822584 21935488 26733876 32903232 35645168 53467752 65806464 71290336 106935504 142580672 213871008 285161344 427742016 855484032