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608897664 = 2732541977
BaseRepresentation
bin100100010010110…
…000101010000000
31120102202012120100
4210102300222000
52221334211124
6140230442400
721042354564
oct4422605200
91512665510
10608897664
11292785911
1214bb03400
13991c279b
145ac216a4
15386c91c9
hex244b0a80

608897664 has 96 divisors (see below), whose sum is σ = 1757201940. Its totient is φ = 202383360.

The previous prime is 608897651. The next prime is 608897743. The reversal of 608897664 is 466798806.

It can be written as a sum of positive squares in 2 ways, for example, as 581774400 + 27123264 = 24120^2 + 5208^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 608897664.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 622744 + ... + 623720.

Almost surely, 2608897664 is an apocalyptic number.

608897664 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 608897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878600970).

608897664 is an abundant number, since it is smaller than the sum of its proper divisors (1148304276).

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

608897664 is a wasteful number, since it uses less digits than its factorization.

608897664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 608897664 is about 24675.8518393996. The cubic root of 608897664 is about 847.5814357750.

The spelling of 608897664 in words is "six hundred eight million, eight hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 541 576 977 1082 1152 1623 1954 2164 2931 3246 3908 4328 4869 5862 6492 7816 8656 8793 9738 11724 12984 15632 17312 17586 19476 23448 25968 31264 34624 35172 38952 46896 51936 62528 69248 70344 77904 93792 103872 125056 140688 155808 187584 207744 281376 311616 375168 528557 562752 623232 1057114 1125504 1585671 2114228 3171342 4228456 4757013 6342684 8456912 9514026 12685368 16913824 19028052 25370736 33827648 38056104 50741472 67655296 76112208 101482944 152224416 202965888 304448832 608897664