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561765672 = 233313375407
BaseRepresentation
bin100001011110111…
…101110100101000
31110011001122122000
4201132331310220
52122303000142
6131424331000
716630633536
oct4136756450
91404048560
10561765672
11269113956
12138173a60
138c4cc930
1454873156
15344b914c
hex217bdd28

561765672 has 128 divisors (see below), whose sum is σ = 1726233600. Its totient is φ = 168148224.

The previous prime is 561765661. The next prime is 561765683. The reversal of 561765672 is 276567165.

It is an interprime number because it is at equal distance from previous prime (561765661) and next prime (561765683).

It is a super-3 number, since 3×5617656723 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101193 + ... + 106599.

It is an arithmetic number, because the mean of its divisors is an integer number (13486200).

Almost surely, 2561765672 is an apocalyptic number.

561765672 is a gapful number since it is divisible by the number (52) 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 561765672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863116800).

561765672 is an abundant number, since it is smaller than the sum of its proper divisors (1164467928).

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

561765672 is a wasteful number, since it uses less digits than its factorization.

561765672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5472 (or 5462 counting only the distinct ones).

The product of its digits is 529200, while the sum is 45.

The square root of 561765672 is about 23701.5964019304. The cubic root of 561765672 is about 825.1224413313.

It can be divided in two parts, 5617 and 65672, that added together give a square (71289 = 2672).

The spelling of 561765672 in words is "five hundred sixty-one million, seven hundred sixty-five thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 37 39 52 54 72 74 78 104 108 111 117 148 156 216 222 234 296 312 333 351 444 468 481 666 702 888 936 962 999 1332 1404 1443 1924 1998 2664 2808 2886 3848 3996 4329 5407 5772 7992 8658 10814 11544 12987 16221 17316 21628 25974 32442 34632 43256 48663 51948 64884 70291 97326 103896 129768 140582 145989 194652 200059 210873 281164 291978 389304 400118 421746 562328 583956 600177 632619 800236 843492 1167912 1200354 1265238 1600472 1686984 1800531 1897857 2400708 2530476 2600767 3601062 3795714 4801416 5060952 5201534 5401593 7202124 7591428 7802301 10403068 10803186 14404248 15182856 15604602 20806136 21606372 23406903 31209204 43212744 46813806 62418408 70220709 93627612 140441418 187255224 280882836 561765672