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1138357248 = 2103752937
BaseRepresentation
bin100001111011001…
…1111010000000000
32221100000112120120
41003312133100000
54312404412443
6304542540240
740131606540
oct10366372000
92840015516
101138357248
11534633716
12279297680
13151ac0892
14ab285320
1569e11083
hex43d9f400

1138357248 has 88 divisors (see below), whose sum is σ = 3467650752. Its totient is φ = 325238784.

The previous prime is 1138357237. The next prime is 1138357273. The reversal of 1138357248 is 8427538311.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 4965 + ... + 47972.

Almost surely, 21138357248 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 1138357248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1733825376).

1138357248 is an abundant number, since it is smaller than the sum of its proper divisors (2329293504).

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

1138357248 is an equidigital number, since it uses as much as digits as its factorization.

1138357248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52967 (or 52949 counting only the distinct ones).

The product of its digits is 161280, while the sum is 42.

The square root of 1138357248 is about 33739.5502044707. The cubic root of 1138357248 is about 1044.1419046404.

The spelling of 1138357248 in words is "one billion, one hundred thirty-eight million, three hundred fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2688 3072 3584 5376 7168 10752 21504 52937 105874 158811 211748 317622 370559 423496 635244 741118 846992 1111677 1270488 1482236 1693984 2223354 2540976 2964472 3387968 4446708 5081952 5928944 6775936 8893416 10163904 11857888 13551872 17786832 20327808 23715776 27103744 35573664 40655616 47431552 54207488 71147328 81311232 94863104 142294656 162622464 189726208 284589312 379452416 569178624 1138357248