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1054378242 = 23342534591
BaseRepresentation
bin111110110110001…
…000100100000010
32201110222222001000
4332312020210002
54124410100432
6252342552430
735062032021
oct7666104402
92643888030
101054378242
114a1194a85
12255138716
1313a599368
14a00648b8
156287357c
hex3ed88902

1054378242 has 32 divisors (see below), whose sum is σ = 2344124160. Its totient is φ = 351300240.

The previous prime is 1054378219. The next prime is 1054378261. The reversal of 1054378242 is 2428734501.

It is a happy number.

1054378242 is a `hidden beast` number, since 1 + 0 + 543 + 78 + 2 + 42 = 666.

It is a super-2 number, since 2×10543782422 = 2223426954406021128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054378197 and 1054378206.

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 15 ways as a sum of consecutive naturals, for example, 227367 + ... + 231957.

It is an arithmetic number, because the mean of its divisors is an integer number (73253880).

Almost surely, 21054378242 is an apocalyptic number.

1054378242 is an abundant number, since it is smaller than the sum of its proper divisors (1289745918).

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

1054378242 is a wasteful number, since it uses less digits than its factorization.

1054378242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8855 (or 8849 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1054378242 is about 32471.1909544445. The cubic root of 1054378242 is about 1017.8071054912.

The spelling of 1054378242 in words is "one billion, fifty-four million, three hundred seventy-eight thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 4253 4591 8506 9182 12759 13773 25518 27546 38277 41319 76554 82638 114831 123957 229662 247914 19525523 39051046 58576569 117153138 175729707 351459414 527189121 1054378242