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561665440 = 25572312311
BaseRepresentation
bin100001011110100…
…101010110100000
31110010212120010201
4201132211112200
52122241243230
6131422234544
716630035400
oct4136452640
91403776121
10561665440
11269055616
12138125a54
138c49611b
1454848800
15344995ca
hex217a55a0

561665440 has 144 divisors (see below), whose sum is σ = 1594059264. Its totient is φ = 186278400.

The previous prime is 561665413. The next prime is 561665453. The reversal of 561665440 is 44566165.

It is a self number, because there is not a number n which added to its sum of digits gives 561665440.

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 23 ways as a sum of consecutive naturals, for example, 241885 + ... + 244195.

It is an arithmetic number, because the mean of its divisors is an integer number (11069856).

Almost surely, 2561665440 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 561665440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797029632).

561665440 is an abundant number, since it is smaller than the sum of its proper divisors (1032393824).

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

561665440 is a wasteful number, since it uses less digits than its factorization.

561665440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 37.

The square root of 561665440 is about 23699.4818508760. The cubic root of 561665440 is about 825.0733647643.

The spelling of 561665440 in words is "five hundred sixty-one million, six hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 49 56 62 70 80 98 112 124 140 155 160 196 217 224 245 248 280 310 392 434 490 496 560 620 784 868 980 992 1085 1120 1240 1519 1568 1736 1960 2170 2311 2480 3038 3472 3920 4340 4622 4960 6076 6944 7595 7840 8680 9244 11555 12152 15190 16177 17360 18488 23110 24304 30380 32354 34720 36976 46220 48608 60760 64708 71641 73952 80885 92440 113239 121520 129416 143282 161770 184880 226478 243040 258832 286564 323540 358205 369760 452956 501487 517664 566195 573128 647080 716410 905912 1002974 1132390 1146256 1294160 1432820 1811824 2005948 2264780 2292512 2507435 2588320 2865640 3510409 3623648 4011896 4529560 5014870 5731280 7020818 8023792 9059120 10029740 11462560 14041636 16047584 17552045 18118240 20059480 28083272 35104090 40118960 56166544 70208180 80237920 112333088 140416360 280832720 561665440