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690469248 = 2737614211
BaseRepresentation
bin101001001001111…
…011100110000000
31210010020110202010
4221021323212000
52403230003443
6152303052520
723052614610
oct5111734600
91703213663
10690469248
1132482a847
121732a1140
13b00832b1
14679b6a40
154093d733
hex2927b980

690469248 has 128 divisors (see below), whose sum is σ = 2130935040. Its totient is φ = 193996800.

The previous prime is 690469217. The next prime is 690469261. The reversal of 690469248 is 842964096.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 690469197 and 690469206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161863 + ... + 166073.

It is an arithmetic number, because the mean of its divisors is an integer number (16647930).

Almost surely, 2690469248 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 690469248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065467520).

690469248 is an abundant number, since it is smaller than the sum of its proper divisors (1440465792).

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

690469248 is a wasteful number, since it uses less digits than its factorization.

690469248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 690469248 is about 26276.7815380803. The cubic root of 690469248 is about 883.8558626061.

The spelling of 690469248 in words is "six hundred ninety million, four hundred sixty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 336 366 384 427 448 488 672 732 854 896 976 1281 1344 1464 1708 1952 2562 2688 2928 3416 3904 4211 5124 5856 6832 7808 8422 10248 11712 12633 13664 16844 20496 23424 25266 27328 29477 33688 40992 50532 54656 58954 67376 81984 88431 101064 117908 134752 163968 176862 202128 235816 256871 269504 353724 404256 471632 513742 539008 707448 770613 808512 943264 1027484 1414896 1541226 1617024 1798097 1886528 2054968 2829792 3082452 3596194 3773056 4109936 5394291 5659584 6164904 7192388 8219872 10788582 11319168 12329808 14384776 16439744 21577164 24659616 28769552 32879488 43154328 49319232 57539104 86308656 98638464 115078208 172617312 230156416 345234624 690469248