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561476352 = 283977537
BaseRepresentation
bin100001011101110…
…111001100000000
31110010111221202110
4201131313030000
52122214220402
6131414215320
716625320203
oct4135671400
91403457673
10561476352
11268a36548
12138054540
138c42b038
14547d993a
153445d56c
hex21777300

561476352 has 72 divisors (see below), whose sum is σ = 1509951856. Its totient is φ = 185204736.

The previous prime is 561476317. The next prime is 561476387. The reversal of 561476352 is 253674165.

It is an interprime number because it is at equal distance from previous prime (561476317) and next prime (561476387).

It is a self number, because there is not a number n which added to its sum of digits gives 561476352.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70728 + ... + 78264.

Almost surely, 2561476352 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 561476352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754975928).

561476352 is an abundant number, since it is smaller than the sum of its proper divisors (948475504).

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

561476352 is an equidigital number, since it uses as much as digits as its factorization.

561476352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7653 (or 7639 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 561476352 is about 23695.4922295360. The cubic root of 561476352 is about 824.9807657591.

The spelling of 561476352 in words is "five hundred sixty-one million, four hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 256 291 384 388 582 768 776 1164 1552 2328 3104 4656 6208 7537 9312 12416 15074 18624 22611 24832 30148 37248 45222 60296 74496 90444 120592 180888 241184 361776 482368 723552 731089 964736 1447104 1462178 1929472 2193267 2894208 2924356 4386534 5788416 5848712 8773068 11697424 17546136 23394848 35092272 46789696 70184544 93579392 140369088 187158784 280738176 561476352