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1348638848 = 27195310463
BaseRepresentation
bin101000001100010…
…1001100010000000
310110222200221200222
41100120221202000
510230222420343
6341454002212
745264145454
oct12030514200
93428627628
101348638848
116322a9367
123177a6368
1318653796b
14cb182664
157d5eba68
hex50629880

1348638848 has 64 divisors (see below), whose sum is σ = 2881785600. Its totient is φ = 626715648.

The previous prime is 1348638827. The next prime is 1348638857. The reversal of 1348638848 is 8488368431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a self number, because there is not a number n which added to its sum of digits gives 1348638848.

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, 123665 + ... + 134127.

It is an arithmetic number, because the mean of its divisors is an integer number (45027900).

Almost surely, 21348638848 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 1348638848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440892800).

1348638848 is an abundant number, since it is smaller than the sum of its proper divisors (1533146752).

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

1348638848 is a wasteful number, since it uses less digits than its factorization.

1348638848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10549 (or 10537 counting only the distinct ones).

The product of its digits is 3538944, while the sum is 53.

The square root of 1348638848 is about 36723.8185378373. The cubic root of 1348638848 is about 1104.8378782511.

The spelling of 1348638848 in words is "one billion, three hundred forty-eight million, six hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 212 304 424 608 848 1007 1216 1696 2014 2432 3392 4028 6784 8056 10463 16112 20926 32224 41852 64448 83704 128896 167408 198797 334816 397594 554539 669632 795188 1109078 1339264 1590376 2218156 3180752 4436312 6361504 8872624 10536241 12723008 17745248 21072482 25446016 35490496 42144964 70980992 84289928 168579856 337159712 674319424 1348638848