Search a number
-
+
427542560 = 25519140639
BaseRepresentation
bin11001011110111…
…100100000100000
31002210111102010122
4121132330200200
51333422330220
6110231415412
713411023524
oct3136744040
91083442118
10427542560
111aa378065
12bb224568
136a765b83
1440ad3d84
1527804425
hex197bc820

427542560 has 48 divisors (see below), whose sum is σ = 1063238400. Its totient is φ = 162014976.

The previous prime is 427542553. The next prime is 427542587. The reversal of 427542560 is 65245724.

It is a super-2 number, since 2×4275425602 = 365585281222707200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 427542560.

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, 67280 + ... + 73359.

It is an arithmetic number, because the mean of its divisors is an integer number (22150800).

Almost surely, 2427542560 is an apocalyptic number.

427542560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427542560 is an abundant number, since it is smaller than the sum of its proper divisors (635695840).

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

427542560 is a wasteful number, since it uses less digits than its factorization.

427542560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140673 (or 140665 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 427542560 is about 20677.1023114942. The cubic root of 427542560 is about 753.3436254805.

The spelling of 427542560 in words is "four hundred twenty-seven million, five hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 140639 281278 562556 703195 1125112 1406390 2250224 2672141 2812780 4500448 5344282 5625560 10688564 11251120 13360705 21377128 22502240 26721410 42754256 53442820 85508512 106885640 213771280 427542560