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561796900 = 2252737109199
BaseRepresentation
bin100001011111000…
…101011100100100
31110011010020110121
4201133011130210
52122310000100
6131425131324
716631123560
oct4137053444
91404106417
10561796900
11269135365
12138189b44
138c510c02
14548806a0
15344c351a
hex217c5724

561796900 has 144 divisors (see below), whose sum is σ = 1451296000. Its totient is φ = 184757760.

The previous prime is 561796853. The next prime is 561796967. The reversal of 561796900 is 9697165.

It is a super-2 number, since 2×5617969002 = 631231513699220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2823001 + ... + 2823199.

Almost surely, 2561796900 is an apocalyptic number.

561796900 is a gapful number since it is divisible by the number (50) 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 561796900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725648000).

561796900 is an abundant number, since it is smaller than the sum of its proper divisors (889499100).

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

561796900 is a wasteful number, since it uses less digits than its factorization.

561796900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 561796900 is about 23702.2551669667. The cubic root of 561796900 is about 825.1377302957.

The spelling of 561796900 in words is "five hundred sixty-one million, seven hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 109 140 148 175 185 199 218 259 350 370 398 436 518 545 700 740 763 796 925 995 1036 1090 1295 1393 1526 1850 1990 2180 2590 2725 2786 3052 3700 3815 3980 4033 4975 5180 5450 5572 6475 6965 7363 7630 8066 9950 10900 12950 13930 14726 15260 16132 19075 19900 20165 21691 25900 27860 28231 29452 34825 36815 38150 40330 43382 51541 56462 69650 73630 76300 80660 86764 100825 103082 108455 112924 139300 141155 147260 151837 184075 201650 206164 216910 257705 282310 303674 368150 403300 433820 515410 542275 564620 607348 705775 736300 759185 802567 1030820 1084550 1288525 1411550 1518370 1605134 2169100 2577050 2823100 3036740 3210268 3795925 4012835 5154100 5617969 7591850 8025670 11235938 15183700 16051340 20064175 22471876 28089845 40128350 56179690 80256700 112359380 140449225 280898450 561796900