Search a number
-
+
689542464 = 263132271217
BaseRepresentation
bin101001000110011…
…001010101000000
31210001111101102210
4221012121111000
52403010324324
6152231142120
723042004612
oct5106312500
91701441383
10689542464
11324257506
12172b14940
13acb1a4c0
1467814db2
1540808d29
hex29199540

689542464 has 112 divisors (see below), whose sum is σ = 1975030848. Its totient is φ = 211058688.

The previous prime is 689542459. The next prime is 689542481. The reversal of 689542464 is 464245986.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 565984 + ... + 567200.

It is an arithmetic number, because the mean of its divisors is an integer number (17634204).

Almost surely, 2689542464 is an apocalyptic number.

689542464 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 689542464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987515424).

689542464 is an abundant number, since it is smaller than the sum of its proper divisors (1285488384).

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

689542464 is a wasteful number, since it uses less digits than its factorization.

689542464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1472 (or 1462 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 689542464 is about 26259.1405799961. The cubic root of 689542464 is about 883.4602329930.

The spelling of 689542464 in words is "six hundred eighty-nine million, five hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 227 312 416 454 624 681 832 908 1217 1248 1362 1816 2434 2496 2724 2951 3632 3651 4868 5448 5902 7264 7302 8853 9736 10896 11804 14528 14604 15821 17706 19472 21792 23608 29208 31642 35412 38944 43584 47216 47463 58416 63284 70824 77888 94432 94926 116832 126568 141648 188864 189852 233664 253136 276259 283296 379704 506272 552518 566592 759408 828777 1012544 1105036 1518816 1657554 2210072 3037632 3315108 3591367 4420144 6630216 7182734 8840288 10774101 13260432 14365468 17680576 21548202 26520864 28730936 43096404 53041728 57461872 86192808 114923744 172385616 229847488 344771232 689542464