Search a number
-
+
1048345088 = 297535519
BaseRepresentation
bin111110011111000…
…111101000000000
32201001122110002212
4332133013220000
54121334020323
6252005401252
734656533450
oct7637075000
92631573085
101048345088
114988441aa
12253109228
1313926624b
149d333d60
1562080b78
hex3e7c7a00

1048345088 has 80 divisors (see below), whose sum is σ = 2439486720. Its totient is φ = 440733696.

The previous prime is 1048345079. The next prime is 1048345091. The reversal of 1048345088 is 8805438401.

1048345088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 187193 + ... + 192711.

It is an arithmetic number, because the mean of its divisors is an integer number (30493584).

Almost surely, 21048345088 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 1048345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219743360).

1048345088 is an abundant number, since it is smaller than the sum of its proper divisors (1391141632).

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

1048345088 is an frugal number, since it uses more digits than its factorization.

1048345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5597 (or 5581 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The square root of 1048345088 is about 32378.1575757485. The cubic root of 1048345088 is about 1015.8620930062.

The spelling of 1048345088 in words is "one billion, forty-eight million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1484 1696 1792 2968 3392 3584 5519 5936 6784 11038 11872 13568 22076 23744 27136 38633 44152 47488 77266 88304 94976 154532 176608 189952 292507 309064 353216 585014 618128 706432 1170028 1236256 1412864 2047549 2340056 2472512 2825728 4095098 4680112 4945024 8190196 9360224 9890048 16380392 18720448 19780096 32760784 37440896 65521568 74881792 131043136 149763584 262086272 524172544 1048345088