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561149232 = 24371819227
BaseRepresentation
bin100001011100100…
…111010100110000
31110002220100000220
4201130213110300
52122123233412
6131403213040
716622455410
oct4134472460
91402810026
10561149232
112688327a6
12137b17180
138c345187
1454752640
15343e668c
hex21727530

561149232 has 80 divisors (see below), whose sum is σ = 1666060032. Its totient is φ = 159425280.

The previous prime is 561149231. The next prime is 561149257. The reversal of 561149232 is 232941165.

It is a junction number, because it is equal to n+sod(n) for n = 561149193 and 561149202.

It is not an unprimeable number, because it can be changed into a prime (561149231) 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, 56203 + ... + 65429.

Almost surely, 2561149232 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 561149232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833030016).

561149232 is an abundant number, since it is smaller than the sum of its proper divisors (1104910800).

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

561149232 is a wasteful number, since it uses less digits than its factorization.

561149232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9426 (or 9420 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 561149232 is about 23688.5886451684. The cubic root of 561149232 is about 824.8205214716.

The spelling of 561149232 in words is "five hundred sixty-one million, one hundred forty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 181 336 362 543 724 1086 1267 1448 2172 2534 2896 3801 4344 5068 7602 8688 9227 10136 15204 18454 20272 27681 30408 36908 55362 60816 64589 73816 110724 129178 147632 193767 221448 258356 387534 442896 516712 775068 1033424 1550136 1670087 3100272 3340174 5010261 6680348 10020522 11690609 13360696 20041044 23381218 26721392 35071827 40082088 46762436 70143654 80164176 93524872 140287308 187049744 280574616 561149232