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689716224 = 21032671117
BaseRepresentation
bin101001000111000…
…011110000000000
31210001211012210100
4221013003300000
52403031404344
6152235002400
723043330321
oct5107036000
91701735710
10689716224
1132436600a
12172b99400
13acb7b612
146785c448
1540840569
hex291c3c00

689716224 has 132 divisors (see below), whose sum is σ = 2023074664. Its totient is φ = 226271232.

The previous prime is 689716219. The next prime is 689716243. The reversal of 689716224 is 422617986.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 689716224.

It is a congruent number.

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, 616914 + ... + 618030.

Almost surely, 2689716224 is an apocalyptic number.

689716224 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 689716224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011537332).

689716224 is an abundant number, since it is smaller than the sum of its proper divisors (1333358440).

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

689716224 is a wasteful number, since it uses less digits than its factorization.

689716224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1189 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 689716224 is about 26262.4489337914. The cubic root of 689716224 is about 883.5344354124.

The spelling of 689716224 in words is "six hundred eighty-nine million, seven hundred sixteen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 256 268 288 384 402 512 536 576 603 768 804 1024 1072 1117 1152 1206 1536 1608 2144 2234 2304 2412 3072 3216 3351 4288 4468 4608 4824 6432 6702 8576 8936 9216 9648 10053 12864 13404 17152 17872 19296 20106 25728 26808 34304 35744 38592 40212 51456 53616 68608 71488 74839 77184 80424 102912 107232 142976 149678 154368 160848 205824 214464 224517 285952 299356 308736 321696 428928 449034 571904 598712 617472 643392 673551 857856 898068 1143808 1197424 1286784 1347102 1715712 1796136 2394848 2573568 2694204 3431424 3592272 4789696 5147136 5388408 7184544 9579392 10294272 10776816 14369088 19158784 21553632 28738176 38317568 43107264 57476352 76635136 86214528 114952704 172429056 229905408 344858112 689716224