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899364672 = 2632732293
BaseRepresentation
bin110101100110110…
…011011101000000
32022200022110101200
4311212303131000
53320214132142
6225124301200
731200321303
oct6546633500
92280273350
10899364672
11421738a98
12211241800
1311443345b
1487632b3a
1553e5364c
hex359b3740

899364672 has 126 divisors (see below), whose sum is σ = 2622583782. Its totient is φ = 294672384.

The previous prime is 899364667. The next prime is 899364673. The reversal of 899364672 is 276463998.

It is a happy number.

899364672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 405458496 + 493906176 = 20136^2 + 22224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (899364673) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3069358 + ... + 3069650.

It is an arithmetic number, because the mean of its divisors is an integer number (20814157).

Almost surely, 2899364672 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 899364672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311291891).

899364672 is an abundant number, since it is smaller than the sum of its proper divisors (1723219110).

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

899364672 is a wasteful number, since it uses less digits than its factorization.

899364672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 371 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 899364672 is about 29989.4093306287. The cubic root of 899364672 is about 965.2621450375.

The spelling of 899364672 in words is "eight hundred ninety-nine million, three hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 73 96 144 146 192 219 288 292 293 438 576 584 586 657 876 879 1168 1172 1314 1752 1758 2336 2344 2628 2637 3504 3516 4672 4688 5256 5274 5329 7008 7032 9376 10512 10548 10658 14016 14064 15987 18752 21024 21096 21316 21389 28128 31974 42048 42192 42632 42778 47961 56256 63948 64167 84384 85264 85556 95922 127896 128334 168768 170528 171112 191844 192501 255792 256668 341056 342224 383688 385002 511584 513336 684448 767376 770004 1023168 1026672 1368896 1534752 1540008 1561397 2053344 3069504 3080016 3122794 4106688 4684191 6160032 6245588 9368382 12320064 12491176 14052573 18736764 24982352 28105146 37473528 49964704 56210292 74947056 99929408 112420584 149894112 224841168 299788224 449682336 899364672