Search a number
-
+
540231648 = 25311511583
BaseRepresentation
bin100000001100110…
…100011111100000
31101122112121111120
4200030310133200
52101244403043
6125335012240
716246615245
oct4014643740
91348477446
10540231648
11257a46040
12130b0a080
1387c001c8
1451a695cc
1532663983
hex203347e0

540231648 has 48 divisors (see below), whose sum is σ = 1547030016. Its totient is φ = 163706240.

The previous prime is 540231647. The next prime is 540231649. The reversal of 540231648 is 846132045.

It is an interprime number because it is at equal distance from previous prime (540231647) and next prime (540231649).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540231647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254736 + ... + 256847.

It is an arithmetic number, because the mean of its divisors is an integer number (32229792).

Almost surely, 2540231648 is an apocalyptic number.

It is an amenable number.

540231648 is an abundant number, since it is smaller than the sum of its proper divisors (1006798368).

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

540231648 is a wasteful number, since it uses less digits than its factorization.

540231648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511607 (or 511599 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 540231648 is about 23242.8838141914. The cubic root of 540231648 is about 814.4417108157.

The spelling of 540231648 in words is "five hundred forty million, two hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 511583 1023166 1534749 2046332 3069498 4092664 5627413 6138996 8185328 11254826 12277992 16370656 16882239 22509652 24555984 33764478 45019304 49111968 67528956 90038608 135057912 180077216 270115824 540231648