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541228608 = 2633313211
BaseRepresentation
bin100000010000100…
…111111001000000
31101201102021002000
4200100213321000
52102023303413
6125412224000
716261236654
oct4020477100
91351367060
10541228608
11258567078
1213130b000
138818bc1b
1451c48a64
15327ae073
hex20427e40

541228608 has 56 divisors (see below), whose sum is σ = 1591116960. Its totient is φ = 180408960.

The previous prime is 541228591. The next prime is 541228657. The reversal of 541228608 is 806822145.

541228608 is a `hidden beast` number, since 5 + 41 + 2 + 2 + 8 + 608 = 666.

It is a super-2 number, since 2×5412286082 = 585856812235235328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154878 + ... + 158333.

Almost surely, 2541228608 is an apocalyptic number.

It is an amenable number.

541228608 is an abundant number, since it is smaller than the sum of its proper divisors (1049888352).

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

541228608 is a wasteful number, since it uses less digits than its factorization.

541228608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313232 (or 313216 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 541228608 is about 23264.3204929781. The cubic root of 541228608 is about 814.9424014898.

The spelling of 541228608 in words is "five hundred forty-one million, two hundred twenty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 313211 626422 939633 1252844 1879266 2505688 2818899 3758532 5011376 5637798 7517064 8456697 10022752 11275596 15034128 16913394 20045504 22551192 30068256 33826788 45102384 60136512 67653576 90204768 135307152 180409536 270614304 541228608