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561470144 = 2697149607
BaseRepresentation
bin100001011101110…
…101101011000000
31110010111122020112
4201131311223000
52122214021034
6131414130452
716625263124
oct4135655300
91403448215
10561470144
11268a31914
12138050a28
138c428271
14547d7584
153445b7ce
hex21775ac0

561470144 has 56 divisors (see below), whose sum is σ = 1135075200. Its totient is φ = 275521536.

The previous prime is 561470111. The next prime is 561470149. The reversal of 561470144 is 441074165.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 561470144.

It is not an unprimeable number, because it can be changed into a prime (561470149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 924689 + ... + 925295.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 2561470144 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 561470144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567537600).

561470144 is an abundant number, since it is smaller than the sum of its proper divisors (573605056).

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

561470144 is a wasteful number, since it uses less digits than its factorization.

561470144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 561470144 is about 23695.3612337943. The cubic root of 561470144 is about 824.9777252633.

The spelling of 561470144 in words is "five hundred sixty-one million, four hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 64 97 149 194 298 388 596 607 776 1192 1214 1552 2384 2428 3104 4768 4856 6208 9536 9712 14453 19424 28906 38848 57812 58879 90443 115624 117758 180886 231248 235516 361772 462496 471032 723544 924992 942064 1447088 1884128 2894176 3768256 5788352 8772971 17545942 35091884 70183768 140367536 280735072 561470144