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578306540 = 225725716073
BaseRepresentation
bin100010011110000…
…100000111101100
31111022012000102202
4202132010013230
52141021302130
6133215041032
720221344620
oct4236040754
91438160382
10578306540
11277491299
12141810178
1392a71726
1456b3b180
1535b85145
hex227841ec

578306540 has 48 divisors (see below), whose sum is σ = 1393422912. Its totient is φ = 197492736.

The previous prime is 578306539. The next prime is 578306543. The reversal of 578306540 is 45603875.

It is a junction number, because it is equal to n+sod(n) for n = 578306494 and 578306503.

It is not an unprimeable number, because it can be changed into a prime (578306543) 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, 27944 + ... + 44016.

It is an arithmetic number, because the mean of its divisors is an integer number (29029644).

Almost surely, 2578306540 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 578306540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696711456).

578306540 is an abundant number, since it is smaller than the sum of its proper divisors (815116372).

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

578306540 is a wasteful number, since it uses less digits than its factorization.

578306540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16346 (or 16344 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The square root of 578306540 is about 24048.0049068525. The cubic root of 578306540 is about 833.1426511272.

The spelling of 578306540 in words is "five hundred seventy-eight million, three hundred six thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 257 514 1028 1285 1799 2570 3598 5140 7196 8995 16073 17990 32146 35980 64292 80365 112511 160730 225022 321460 450044 562555 1125110 2250220 4130761 8261522 16523044 20653805 28915327 41307610 57830654 82615220 115661308 144576635 289153270 578306540