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1054278864 = 243215746633
BaseRepresentation
bin111110110101110…
…000010011010000
32201110210220201100
4332311300103100
54124343410424
6252340504400
735061136212
oct7665602320
92643726640
101054278864
114a1127351
122550ab100
1313a563062
14a003a5b2
1562853dc9
hex3ed704d0

1054278864 has 60 divisors (see below), whose sum is σ = 2969373316. Its totient is φ = 349180416.

The previous prime is 1054278791. The next prime is 1054278881. The reversal of 1054278864 is 4688724501.

1054278864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 285880464 + 768398400 = 16908^2 + 27720^2 .

It is a super-2 number, since 2×10542788642 = 2223007846154260992, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 709 + ... + 45924.

Almost surely, 21054278864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054278864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484686658).

1054278864 is an abundant number, since it is smaller than the sum of its proper divisors (1915094452).

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

1054278864 is a wasteful number, since it uses less digits than its factorization.

1054278864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46804 (or 46795 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 1054278864 is about 32469.6606696159. The cubic root of 1054278864 is about 1017.7751274626.

The spelling of 1054278864 in words is "one billion, fifty-four million, two hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 11304 22608 46633 93266 139899 186532 279798 373064 419697 559596 746128 839394 1119192 1678788 2238384 3357576 6715152 7321381 14642762 21964143 29285524 43928286 58571048 65892429 87856572 117142096 131784858 175713144 263569716 351426288 527139432 1054278864