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540256476 = 2232312715413
BaseRepresentation
bin100000001100111…
…010100011011100
31101122120212120010
4200030322203130
52101301201401
6125335323220
716250050524
oct4014724334
91348525503
10540256476
11257a62761
12130b20510
1387c0b5b6
1451a74684
153266aed6
hex2033a8dc

540256476 has 48 divisors (see below), whose sum is σ = 1325850624. Its totient is φ = 170888256.

The previous prime is 540256471. The next prime is 540256487. The reversal of 540256476 is 674652045.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540256471) 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, 27346 + ... + 42758.

It is an arithmetic number, because the mean of its divisors is an integer number (27621888).

Almost surely, 2540256476 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 540256476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662925312).

540256476 is an abundant number, since it is smaller than the sum of its proper divisors (785594148).

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

540256476 is a wasteful number, since it uses less digits than its factorization.

540256476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15570 (or 15568 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 540256476 is about 23243.4179070119. The cubic root of 540256476 is about 814.4541873457.

The spelling of 540256476 in words is "five hundred forty million, two hundred fifty-six thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 127 138 254 276 381 508 762 1524 2921 5842 8763 11684 15413 17526 30826 35052 46239 61652 92478 184956 354499 708998 1063497 1417996 1957451 2126994 3914902 4253988 5872353 7829804 11744706 23489412 45021373 90042746 135064119 180085492 270128238 540256476