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1390786848 = 25341148779
BaseRepresentation
bin101001011100101…
…1011100100100000
310120221000021220000
41102321123210200
510322020134343
6350001220000
746315331103
oct12271334440
93527007800
101390786848
11654076820
12329931600
131921a40c9
14d29d473a
1582174ed3
hex52e5b920

1390786848 has 120 divisors (see below), whose sum is σ = 4462199280. Its totient is φ = 421441920.

The previous prime is 1390786841. The next prime is 1390786849. The reversal of 1390786848 is 8486870931.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1390786794 and 1390786803.

It is not an unprimeable number, because it can be changed into a prime (1390786841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4123 + ... + 52901.

It is an arithmetic number, because the mean of its divisors is an integer number (37184994).

Almost surely, 21390786848 is an apocalyptic number.

1390786848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390786848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231099640).

1390786848 is an abundant number, since it is smaller than the sum of its proper divisors (3071412432).

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

1390786848 is a wasteful number, since it uses less digits than its factorization.

1390786848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48812 (or 48795 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The square root of 1390786848 is about 37293.2547252181. The cubic root of 1390786848 is about 1116.2295746921.

The spelling of 1390786848 in words is "one billion, three hundred ninety million, seven hundred eighty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 3168 3564 4752 7128 9504 14256 28512 48779 97558 146337 195116 292674 390232 439011 536569 585348 780464 878022 1073138 1170696 1317033 1560928 1609707 1756044 2146276 2341392 2634066 3219414 3512088 3951099 4292552 4682784 4829121 5268132 6438828 7024176 7902198 8585104 9658242 10536264 12877656 14048352 14487363 15804396 17170208 19316484 21072528 25755312 28974726 31608792 38632968 42145056 43462089 51510624 57949452 63217584 77265936 86924178 115898904 126435168 154531872 173848356 231797808 347696712 463595616 695393424 1390786848