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545918940 = 2237571783
BaseRepresentation
bin100000100010100…
…000111111011100
31102001020120000000
4200202200333130
52104223401230
6130100534300
716346143260
oct4042407734
91361216000
10545918940
1126017aa86
121329b1390
1389141a78
145270a0a0
1532dd8b60
hex208a0fdc

545918940 has 192 divisors, whose sum is σ = 1966110720. Its totient is φ = 124711488.

The previous prime is 545918911. The next prime is 545918953. The reversal of 545918940 is 49819545.

545918940 is a `hidden beast` number, since 54 + 591 + 8 + 9 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 305289 + ... + 307071.

It is an arithmetic number, because the mean of its divisors is an integer number (10240160).

Almost surely, 2545918940 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 545918940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983055360).

545918940 is an abundant number, since it is smaller than the sum of its proper divisors (1420191780).

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

545918940 is a wasteful number, since it uses less digits than its factorization.

545918940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 545918940 is about 23364.9083028374. The cubic root of 545918940 is about 817.2897531881.

The spelling of 545918940 in words is "five hundred forty-five million, nine hundred eighteen thousand, nine hundred forty".