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540585378 = 232193150989
BaseRepresentation
bin100000001110001…
…010110110100010
31101200012120201200
4200032022312202
52101342213003
6125350342030
716252620444
oct4016126642
91350176650
10540585378
11258167883
1213105a916
1387cc5208
1451b1c494
15326d36a3
hex2038ada2

540585378 has 48 divisors (see below), whose sum is σ = 1272710400. Its totient is φ = 165201120.

The previous prime is 540585371. The next prime is 540585403. The reversal of 540585378 is 873585045.

540585378 is a `hidden beast` number, since 540 + 58 + 53 + 7 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (540585371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14893 + ... + 36096.

It is an arithmetic number, because the mean of its divisors is an integer number (26514800).

Almost surely, 2540585378 is an apocalyptic number.

540585378 is an abundant number, since it is smaller than the sum of its proper divisors (732125022).

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

540585378 is a wasteful number, since it uses less digits than its factorization.

540585378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51047 (or 51044 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The square root of 540585378 is about 23250.4919947944. The cubic root of 540585378 is about 814.6194306339.

The spelling of 540585378 in words is "five hundred forty million, five hundred eighty-five thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 31 38 57 62 93 114 171 186 279 342 558 589 1178 1767 3534 5301 10602 50989 101978 152967 305934 458901 917802 968791 1580659 1937582 2906373 3161318 4741977 5812746 8719119 9483954 14225931 17438238 28451862 30032521 60065042 90097563 180195126 270292689 540585378