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1048856634 = 23378931177
BaseRepresentation
bin111110100001000…
…100100000111010
32201002121102211000
4332201010200322
54122001403014
6252024345430
734664064030
oct7641044072
92632542730
101048856634
11499063571
12253315276
131393b5037
149d428550
1562132509
hex3e84483a

1048856634 has 64 divisors (see below), whose sum is σ = 2693779200. Its totient is φ = 296296704.

The previous prime is 1048856623. The next prime is 1048856647. The reversal of 1048856634 is 4366588401.

1048856634 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 8 + 5 + 6 + 634 = 666.

It is a super-2 number, since 2×10488566342 = 2200200477371619912, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1048856634.

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 31 ways as a sum of consecutive naturals, for example, 18054 + ... + 49230.

It is an arithmetic number, because the mean of its divisors is an integer number (42090300).

Almost surely, 21048856634 is an apocalyptic number.

1048856634 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1048856634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346889600).

1048856634 is an abundant number, since it is smaller than the sum of its proper divisors (1644922566).

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

1048856634 is a wasteful number, since it uses less digits than its factorization.

1048856634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31284 (or 31278 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1048856634 is about 32386.0561661960. The cubic root of 1048856634 is about 1016.0272980503.

The spelling of 1048856634 in words is "one billion, forty-eight million, eight hundred fifty-six thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 89 126 178 189 267 378 534 623 801 1246 1602 1869 2403 3738 4806 5607 11214 16821 31177 33642 62354 93531 187062 218239 280593 436478 561186 654717 841779 1309434 1683558 1964151 2774753 3928302 5549506 5892453 8324259 11784906 16648518 19423271 24972777 38846542 49945554 58269813 74918331 116539626 149836662 174809439 349618878 524428317 1048856634