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1238942848 = 271113113599
BaseRepresentation
bin100100111011000…
…1100010010000000
310012100021211002011
41021312030102000
510014132132343
6322534502304
742462561163
oct11166142200
93170254064
101238942848
11586395110
122a6b04994
131698aaaa0
14ba789ada
1573b7e29d
hex49d8c480

1238942848 has 128 divisors (see below), whose sum is σ = 2930256000. Its totient is φ = 514375680.

The previous prime is 1238942839. The next prime is 1238942927. The reversal of 1238942848 is 8482498321.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×12389428482 = 3069958761220702208, which contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2068053 + ... + 2068651.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 21238942848 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 1238942848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465128000).

1238942848 is an abundant number, since it is smaller than the sum of its proper divisors (1691313152).

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

1238942848 is a wasteful number, since it uses less digits than its factorization.

1238942848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its digits is 884736, while the sum is 49.

The square root of 1238942848 is about 35198.6199729478. The cubic root of 1238942848 is about 1074.0316783839.

The spelling of 1238942848 in words is "one billion, two hundred thirty-eight million, nine hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 113 128 143 176 208 226 286 352 416 452 572 599 704 832 904 1144 1198 1243 1408 1469 1664 1808 2288 2396 2486 2938 3616 4576 4792 4972 5876 6589 7232 7787 9152 9584 9944 11752 13178 14464 15574 16159 18304 19168 19888 23504 26356 31148 32318 38336 39776 47008 52712 62296 64636 67687 76672 79552 85657 94016 105424 124592 129272 135374 159104 171314 188032 210848 249184 258544 270748 342628 421696 498368 517088 541496 685256 744557 843392 879931 996736 1034176 1082992 1370512 1489114 1759862 2068352 2165984 2741024 2978228 3519724 4331968 5482048 5956456 7039448 8663936 9679241 10964096 11912912 14078896 19358482 23825824 28157792 38716964 47651648 56315584 77433928 95303296 112631168 154867856 309735712 619471424 1238942848