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427305648 = 243711115613
BaseRepresentation
bin11001011110000…
…010101010110000
31002210001101011010
4121132002222300
51333342240043
6110222350520
713406016030
oct3136025260
91083041133
10427305648
111aa226070
12bb12b440
136a6b20a3
1440a718c0
15277a9133
hex19782ab0

427305648 has 80 divisors (see below), whose sum is σ = 1376269056. Its totient is φ = 110987520.

The previous prime is 427305647. The next prime is 427305673. The reversal of 427305648 is 846503724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (427305647) 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, 54111 + ... + 61502.

Almost surely, 2427305648 is an apocalyptic number.

427305648 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

427305648 is an abundant number, since it is smaller than the sum of its proper divisors (948963408).

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

427305648 is a wasteful number, since it uses less digits than its factorization.

427305648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115642 (or 115636 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 427305648 is about 20671.3726684998. The cubic root of 427305648 is about 753.2044509375.

The spelling of 427305648 in words is "four hundred twenty-seven million, three hundred five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3696 115613 231226 346839 462452 693678 809291 924904 1271743 1387356 1618582 1849808 2427873 2543486 2774712 3237164 3815229 4855746 5086972 5549424 6474328 7630458 8902201 9711492 10173944 12948656 15260916 17804402 19422984 20347888 26706603 30521832 35608804 38845968 53413206 61043664 71217608 106826412 142435216 213652824 427305648