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896000832 = 2633737103
BaseRepresentation
bin110101011001111…
…110001101000000
32022102222120002000
4311121332031000
53313334011312
6224524224000
731126611216
oct6531761500
92272876060
10896000832
1141a850761
1221009b000
1311382630c
1486dd8cb6
15539dbadc
hex3567e340

896000832 has 112 divisors (see below), whose sum is σ = 2670535680. Its totient is φ = 294534144.

The previous prime is 896000779. The next prime is 896000863. The reversal of 896000832 is 238000698.

896000832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122593 + ... + 129695.

Almost surely, 2896000832 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 896000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335267840).

896000832 is an abundant number, since it is smaller than the sum of its proper divisors (1774534848).

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

896000832 is a wasteful number, since it uses less digits than its factorization.

896000832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7197 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 896000832 is about 29933.2729917729. The cubic root of 896000832 is about 964.0572040686.

The spelling of 896000832 in words is "eight hundred ninety-six million, eight hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 144 146 192 216 219 288 292 432 438 576 584 657 864 876 1168 1314 1728 1752 1971 2336 2628 3504 3942 4672 5256 7008 7103 7884 10512 14016 14206 15768 21024 21309 28412 31536 42048 42618 56824 63072 63927 85236 113648 126144 127854 170472 191781 227296 255708 340944 383562 454592 511416 518519 681888 767124 1022832 1037038 1363776 1534248 1555557 2045664 2074076 3068496 3111114 4091328 4148152 4666671 6136992 6222228 8296304 9333342 12273984 12444456 14000013 16592608 18666684 24888912 28000026 33185216 37333368 49777824 56000052 74666736 99555648 112000104 149333472 224000208 298666944 448000416 896000832