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1389285072 = 243277731783
BaseRepresentation
bin101001011001110…
…1100111011010000
310120211011222211200
41102303230323100
510321124110242
6345505111200
746266504540
oct12263547320
93524158750
101389285072
1165324048a
12329328500
13191a99696
14d2723320
1581e7a04c
hex52ceced0

1389285072 has 120 divisors (see below), whose sum is σ = 4451750784. Its totient is φ = 396202752.

The previous prime is 1389285019. The next prime is 1389285083. The reversal of 1389285072 is 2705829831.

It is a happy number.

1389285072 is a `hidden beast` number, since 138 + 9 + 2 + 8 + 507 + 2 = 666.

It is a super-2 number, since 2×13892850722 = 3860226022564090368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 778293 + ... + 780075.

Almost surely, 21389285072 is an apocalyptic number.

1389285072 is a gapful number since it is divisible by the number (12) 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 1389285072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2225875392).

1389285072 is an abundant number, since it is smaller than the sum of its proper divisors (3062465712).

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

1389285072 is a wasteful number, since it uses less digits than its factorization.

1389285072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1389285072 is about 37273.1146002048. The cubic root of 1389285072 is about 1115.8276605962.

The spelling of 1389285072 in words is "one billion, three hundred eighty-nine million, two hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 773 1008 1546 1783 2319 3092 3566 4638 5349 5411 6184 6957 7132 9276 10698 10822 12368 12481 13914 14264 16047 16233 18552 21396 21644 24962 27828 28528 32094 32466 37104 37443 42792 43288 48699 49924 55656 64188 64932 74886 85584 86576 97398 99848 111312 112329 128376 129864 149772 194796 199696 224658 256752 259728 299544 389592 449316 599088 779184 898632 1378259 1797264 2756518 4134777 5513036 8269554 9647813 11026072 12404331 16539108 19295626 22052144 24808662 28943439 33078216 38591252 49617324 57886878 66156432 77182504 86830317 99234648 115773756 154365008 173660634 198469296 231547512 347321268 463095024 694642536 1389285072