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1054813644 = 22339766793
BaseRepresentation
bin111110110111110…
…010110111001100
32201111211002022000
4332313302313030
54130013014034
6252400152300
735065524303
oct7667626714
92644732260
101054813644
114a1462115
12255308690
1313a6bc5b1
14a013943a
156290c599
hex3edf2dcc

1054813644 has 24 divisors (see below), whose sum is σ = 2734702320. Its totient is φ = 351604512.

The previous prime is 1054813631. The next prime is 1054813663. The reversal of 1054813644 is 4463184501.

1054813644 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 8 + 1 + 3 + 644 = 666.

It is a super-2 number, since 2×10548136442 = 2225263647137117472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1054813599 and 1054813608.

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, 4883289 + ... + 4883504.

It is an arithmetic number, because the mean of its divisors is an integer number (113945930).

Almost surely, 21054813644 is an apocalyptic number.

It is an amenable number.

1054813644 is an abundant number, since it is smaller than the sum of its proper divisors (1679888676).

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

1054813644 is a wasteful number, since it uses less digits than its factorization.

1054813644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9766806 (or 9766798 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 1054813644 is about 32477.8946977787. The cubic root of 1054813644 is about 1017.9471862344.

The spelling of 1054813644 in words is "one billion, fifty-four million, eight hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 9766793 19533586 29300379 39067172 58600758 87901137 117201516 175802274 263703411 351604548 527406822 1054813644