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545835840 = 263511237127
BaseRepresentation
bin100000100010001…
…100101101000000
31102001002100000020
4200202030231000
52104213221330
6130055053440
716345346064
oct4042145500
91361070006
10545835840
11260123600
12132971280
1389112cb4
14526c7aa4
1532dbe210
hex2088cb40

545835840 has 336 divisors, whose sum is σ = 1971787776. Its totient is φ = 127733760.

The previous prime is 545835833. The next prime is 545835841. The reversal of 545835840 is 48538545.

It is a junction number, because it is equal to n+sod(n) for n = 545835792 and 545835801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545835841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4297857 + ... + 4297983.

It is an arithmetic number, because the mean of its divisors is an integer number (5868416).

Almost surely, 2545835840 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 545835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985893888).

545835840 is an abundant number, since it is smaller than the sum of its proper divisors (1425951936).

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

545835840 is a wasteful number, since it uses less digits than its factorization.

545835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 42.

The square root of 545835840 is about 23363.1299273021. The cubic root of 545835840 is about 817.2482816924.

The spelling of 545835840 in words is "five hundred forty-five million, eight hundred thirty-five thousand, eight hundred forty".