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563474240 = 26572310937
BaseRepresentation
bin100001100101011…
…110111101000000
31110021021110100022
4201211132331000
52123222133430
6131525113012
716651311020
oct4145367500
91407243308
10563474240
1126a08059a
12138858768
138c97a514
1454b99a80
15347054e5
hex2195ef40

563474240 has 112 divisors (see below), whose sum is σ = 1600273152. Its totient is φ = 184774656.

The previous prime is 563474237. The next prime is 563474251. The reversal of 563474240 is 42474365.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 563474240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46052 + ... + 56988.

Almost surely, 2563474240 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 563474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800136576).

563474240 is an abundant number, since it is smaller than the sum of its proper divisors (1036798912).

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

563474240 is a wasteful number, since it uses less digits than its factorization.

563474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10984 (or 10974 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 563474240 is about 23737.6123483387. The cubic root of 563474240 is about 825.9581106238.

The spelling of 563474240 in words is "five hundred sixty-three million, four hundred seventy-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 140 160 161 184 224 230 280 320 322 368 448 460 560 644 736 805 920 1120 1288 1472 1610 1840 2240 2576 3220 3680 5152 6440 7360 10304 10937 12880 21874 25760 43748 51520 54685 76559 87496 109370 153118 174992 218740 251551 306236 349984 382795 437480 503102 612472 699968 765590 874960 1006204 1224944 1257755 1531180 1749920 1760857 2012408 2449888 2515510 3062360 3499840 3521714 4024816 4899776 5031020 6124720 7043428 8049632 8804285 10062040 12249440 14086856 16099264 17608570 20124080 24498880 28173712 35217140 40248160 56347424 70434280 80496320 112694848 140868560 281737120 563474240