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545094208 = 2629509577
BaseRepresentation
bin100000011111010…
…111101001000000
31101222200122200101
4200133113221000
52104021003313
6130031132144
716336136641
oct4037275100
91358618611
10545094208
1125a76738a
12132674054
1388c13569
14525736c8
1532cc45dd
hex207d7a40

545094208 has 56 divisors (see below), whose sum is σ = 1123111800. Its totient is φ = 262176768.

The previous prime is 545094191. The next prime is 545094229. The reversal of 545094208 is 802490545.

It can be written as a sum of positive squares in 4 ways, for example, as 347747904 + 197346304 = 18648^2 + 14048^2 .

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 7 ways as a sum of consecutive naturals, for example, 944416 + ... + 944992.

Almost surely, 2545094208 is an apocalyptic number.

545094208 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 545094208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561555900).

545094208 is an abundant number, since it is smaller than the sum of its proper divisors (578017592).

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

545094208 is a wasteful number, since it uses less digits than its factorization.

545094208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1127 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 545094208 is about 23347.2526863441. The cubic root of 545094208 is about 816.8779797665.

The spelling of 545094208 in words is "five hundred forty-five million, ninety-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 464 509 577 928 1018 1154 1856 2036 2308 4072 4616 8144 9232 14761 16288 16733 18464 29522 32576 33466 36928 59044 66932 118088 133864 236176 267728 293693 472352 535456 587386 944704 1070912 1174772 2349544 4699088 8517097 9398176 17034194 18796352 34068388 68136776 136273552 272547104 545094208