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689617464 = 2331923471399
BaseRepresentation
bin101001000110101…
…011101000111000
31210001122012022120
4221012223220320
52403020224324
6152232521240
723042436354
oct5106535070
91701565276
10689617464
113242a8898
12172b50220
13acb45693
1467834464
1540821179
hex291aba38

689617464 has 128 divisors (see below), whose sum is σ = 1935360000. Its totient is φ = 203727744.

The previous prime is 689617463. The next prime is 689617471. The reversal of 689617464 is 464716986.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689617463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492237 + ... + 493635.

It is an arithmetic number, because the mean of its divisors is an integer number (15120000).

Almost surely, 2689617464 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 689617464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967680000).

689617464 is an abundant number, since it is smaller than the sum of its proper divisors (1245742536).

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

689617464 is a wasteful number, since it uses less digits than its factorization.

689617464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1493 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 689617464 is about 26260.5686153213. The cubic root of 689617464 is about 883.4922624999.

The spelling of 689617464 in words is "six hundred eighty-nine million, six hundred seventeen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 47 57 69 76 92 94 114 138 141 152 184 188 228 276 282 376 437 456 552 564 874 893 1081 1128 1311 1399 1748 1786 2162 2622 2679 2798 3243 3496 3572 4197 4324 5244 5358 5596 6486 7144 8394 8648 10488 10716 11192 12972 16788 20539 21432 25944 26581 32177 33576 41078 53162 61617 64354 65753 79743 82156 96531 106324 123234 128708 131506 159486 164312 193062 197259 212648 246468 257416 263012 318972 386124 394518 492936 526024 611363 637944 772248 789036 1222726 1249307 1512319 1578072 1834089 2445452 2498614 3024638 3668178 3747921 4536957 4890904 4997228 6049276 7336356 7495842 9073914 9994456 12098552 14672712 14991684 18147828 28734061 29983368 36295656 57468122 86202183 114936244 172404366 229872488 344808732 689617464