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541044096 = 27311872
BaseRepresentation
bin100000001111111…
…010110110000000
31101201001212222020
4200033322312000
52102001402341
6125404241440
716256541015
oct4017726600
91351055866
10541044096
1125845048a
12131240280
1388125c48
1451bdb70c
1532774566
hex203fad80

541044096 has 48 divisors (see below), whose sum is σ = 1438360140. Its totient is φ = 180196096.

The previous prime is 541044089. The next prime is 541044121. The reversal of 541044096 is 690440145.

It is a tau number, because it is divible by the number of its divisors (48).

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 5 ways as a sum of consecutive naturals, for example, 455215 + ... + 456401.

Almost surely, 2541044096 is an apocalyptic number.

It is an amenable number.

541044096 is an abundant number, since it is smaller than the sum of its proper divisors (897316044).

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

541044096 is an frugal number, since it uses more digits than its factorization.

541044096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2391 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 541044096 is about 23260.3545974691. The cubic root of 541044096 is about 814.8497827450.

The spelling of 541044096 in words is "five hundred forty-one million, forty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1187 2374 3561 4748 7122 9496 14244 18992 28488 37984 56976 75968 113952 151936 227904 455808 1408969 2817938 4226907 5635876 8453814 11271752 16907628 22543504 33815256 45087008 67630512 90174016 135261024 180348032 270522048 541044096