Search a number
-
+
1388895648 = 253717121577
BaseRepresentation
bin101001011001000…
…1101110110100000
310120210110012122120
41102302031312200
510321024130043
6345452504240
746263263310
oct12262156640
93523405576
101388895648
11652aa4948
1232917b080
1319199135a
14d2661440
1581dee983
hex52c8dda0

1388895648 has 96 divisors (see below), whose sum is σ = 4411822464. Its totient is φ = 373481472.

The previous prime is 1388895589. The next prime is 1388895659. The reversal of 1388895648 is 8465988831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×13888956482 = 3858062242066679808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1388895591 and 1388895600.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49365 + ... + 72212.

It is an arithmetic number, because the mean of its divisors is an integer number (45956484).

Almost surely, 21388895648 is an apocalyptic number.

It is an amenable number.

1388895648 is an abundant number, since it is smaller than the sum of its proper divisors (3022926816).

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

1388895648 is a wasteful number, since it uses less digits than its factorization.

1388895648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121614 (or 121606 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 60.

The square root of 1388895648 is about 37267.8903078776. The cubic root of 1388895648 is about 1115.7233933760.

The spelling of 1388895648 in words is "one billion, three hundred eighty-eight million, eight hundred ninety-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 336 357 408 476 544 672 714 816 952 1428 1632 1904 2856 3808 5712 11424 121577 243154 364731 486308 729462 851039 972616 1458924 1702078 1945232 2066809 2553117 2917848 3404156 3890464 4133618 5106234 5835696 6200427 6808312 8267236 10212468 11671392 12400854 13616624 14467663 16534472 20424936 24801708 27233248 28935326 33068944 40849872 43402989 49603416 57870652 66137888 81699744 86805978 99206832 115741304 173611956 198413664 231482608 347223912 462965216 694447824 1388895648