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561291040 = 25517434799
BaseRepresentation
bin100001011101001…
…001111100100000
31110010011112120001
4201131021330200
52122142303130
6131410225344
716623616012
oct4135117440
91403145501
10561291040
1126891a2a2
12137b85254
138c39489b
145478c1b2
15344236ca
hex21749f20

561291040 has 96 divisors (see below), whose sum is σ = 1437004800. Its totient is φ = 206352384.

The previous prime is 561290957. The next prime is 561291047. The reversal of 561291040 is 40192165.

It is not an unprimeable number, because it can be changed into a prime (561291047) by changing a digit.

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, 114561 + ... + 119359.

It is an arithmetic number, because the mean of its divisors is an integer number (14968800).

Almost surely, 2561291040 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 561291040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718502400).

561291040 is an abundant number, since it is smaller than the sum of its proper divisors (875713760).

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

561291040 is a wasteful number, since it uses less digits than its factorization.

561291040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4874 (or 4866 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 561291040 is about 23691.5816272363. The cubic root of 561291040 is about 824.8899957400.

The spelling of 561291040 in words is "five hundred sixty-one million, two hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 43 68 80 85 86 136 160 170 172 215 272 340 344 430 544 680 688 731 860 1360 1376 1462 1720 2720 2924 3440 3655 4799 5848 6880 7310 9598 11696 14620 19196 23392 23995 29240 38392 47990 58480 76784 81583 95980 116960 153568 163166 191960 206357 326332 383920 407915 412714 652664 767840 815830 825428 1031785 1305328 1631660 1650856 2063570 2610656 3263320 3301712 3508069 4127140 6526640 6603424 7016138 8254280 13053280 14032276 16508560 17540345 28064552 33017120 35080690 56129104 70161380 112258208 140322760 280645520 561291040