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561727872 = 2734173187
BaseRepresentation
bin100001011110110…
…100100110000000
31110010222201210000
4201132310212000
52122300242442
6131423440000
716630415406
oct4136644600
91403881700
10561727872
11269098512
12138156000
138c4b8674
1454863476
15344acd4c
hex217b4980

561727872 has 160 divisors (see below), whose sum is σ = 1770583320. Its totient is φ = 176173056.

The previous prime is 561727871. The next prime is 561727891. The reversal of 561727872 is 278727165.

561727872 is a `hidden beast` number, since 5 + 617 + 27 + 8 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (561727871) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 174663 + ... + 177849.

Almost surely, 2561727872 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 561727872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885291660).

561727872 is an abundant number, since it is smaller than the sum of its proper divisors (1208855448).

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

561727872 is a wasteful number, since it uses less digits than its factorization.

561727872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3209 counting only the distinct ones).

The product of its digits is 329280, while the sum is 45.

The square root of 561727872 is about 23700.7989738743. The cubic root of 561727872 is about 825.1039340132.

It can be divided in two parts, 5617 and 27872, that added together give a square (33489 = 1832).

The spelling of 561727872 in words is "five hundred sixty-one million, seven hundred twenty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 128 136 144 153 162 192 204 216 272 288 306 324 384 408 432 459 544 576 612 648 816 864 918 1088 1152 1224 1296 1377 1632 1728 1836 2176 2448 2592 2754 3187 3264 3456 3672 4896 5184 5508 6374 6528 7344 9561 9792 10368 11016 12748 14688 19122 19584 22032 25496 28683 29376 38244 44064 50992 54179 57366 58752 76488 86049 88128 101984 108358 114732 152976 162537 172098 176256 203968 216716 229464 258147 305952 325074 344196 407936 433432 458928 487611 516294 611904 650148 688392 866864 917856 975222 1032588 1223808 1300296 1376784 1462833 1733728 1835712 1950444 2065176 2600592 2753568 2925666 3467456 3671424 3900888 4130352 4388499 5201184 5507136 5851332 6934912 7801776 8260704 8776998 10402368 11014272 11702664 15603552 16521408 17553996 20804736 23405328 31207104 33042816 35107992 46810656 62414208 70215984 93621312 140431968 187242624 280863936 561727872