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1048627968 = 2837119231
BaseRepresentation
bin111110100000001…
…100101100000000
32201002011211010220
4332200030230000
54121422043333
6252015423040
734662122253
oct7640145400
92632154126
101048627968
11498a17793
12253224a80
13139334c2b
149d3a909a
15620d98b3
hex3e80cb00

1048627968 has 72 divisors (see below), whose sum is σ = 2830334976. Its totient is φ = 344601600.

The previous prime is 1048627967. The next prime is 1048628047. The reversal of 1048627968 is 8697268401.

It is a self number, because there is not a number n which added to its sum of digits gives 1048627968.

It is not an unprimeable number, because it can be changed into a prime (1048627961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44913 + ... + 64143.

It is an arithmetic number, because the mean of its divisors is an integer number (39310208).

Almost surely, 21048627968 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 1048627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415167488).

1048627968 is an abundant number, since it is smaller than the sum of its proper divisors (1781707008).

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

1048627968 is an equidigital number, since it uses as much as digits as its factorization.

1048627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19321 (or 19307 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 1048627968 is about 32382.5256581385. The cubic root of 1048627968 is about 1015.9534564414.

The spelling of 1048627968 in words is "one billion, forty-eight million, six hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 568 768 852 1136 1704 2272 3408 4544 6816 9088 13632 18176 19231 27264 38462 54528 57693 76924 115386 153848 230772 307696 461544 615392 923088 1230784 1365401 1846176 2461568 2730802 3692352 4096203 4923136 5461604 7384704 8192406 10923208 14769408 16384812 21846416 32769624 43692832 65539248 87385664 131078496 174771328 262156992 349542656 524313984 1048627968