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1054820484 = 223254132
BaseRepresentation
bin111110110111110…
…100100010000100
32201111211102200100
4332313310202010
54130013223414
6252400244100
735065553244
oct7667644204
92644742610
101054820484
114a1467273
12255310630
1313a6c2743
14a013bb24
156290e609
hex3edf4884

1054820484 has 27 divisors (see below), whose sum is σ = 2666844453. Its totient is φ = 351541872.

The previous prime is 1054820449. The next prime is 1054820491. The reversal of 1054820484 is 4840284501.

The square root of 1054820484 is 32478.

It is a perfect power (a square), and thus also a powerful number.

1054820484 is a `hidden beast` number, since 10 + 548 + 20 + 4 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 229522500 + 825297984 = 15150^2 + 28728^2 .

It is a super-2 number, since 2×10548204842 = 2225292506931988512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 8 ways as a sum of consecutive naturals, for example, 192162 + ... + 197574.

Almost surely, 21054820484 is an apocalyptic number.

1054820484 is the 32478-th square number.

It is an amenable number.

1054820484 is an abundant number, since it is smaller than the sum of its proper divisors (1612023969).

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

1054820484 is an frugal number, since it uses more digits than its factorization.

1054820484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The cubic root of 1054820484 is about 1017.9493865421.

Multiplying 1054820484 by its sum of digits (36), we get a square (37973537424 = 1948682).

1054820484 divided by its sum of digits (36) gives a square (29300569 = 54132).

The spelling of 1054820484 in words is "one billion, fifty-four million, eight hundred twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 5413 10826 16239 21652 32478 48717 64956 97434 194868 29300569 58601138 87901707 117202276 175803414 263705121 351606828 527410242 1054820484