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1385293112 = 237229233523
BaseRepresentation
bin101001010010001…
…1110010100111000
310120112200011220022
41102210132110320
510314113334422
6345243350012
746220540300
oct12244362470
93515604808
101385293112
11650a64245
12327b22308
13190ccc688
14d1da4600
158193c342
hex5291e538

1385293112 has 96 divisors (see below), whose sum is σ = 3145100400. Its totient is φ = 569673216.

The previous prime is 1385293109. The next prime is 1385293123. The reversal of 1385293112 is 2113925831.

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, 2648483 + ... + 2649005.

Almost surely, 21385293112 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 1385293112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572550200).

1385293112 is an abundant number, since it is smaller than the sum of its proper divisors (1759807288).

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

1385293112 is a wasteful number, since it uses less digits than its factorization.

1385293112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 1385293112 is about 37219.5259507694. The cubic root of 1385293112 is about 1114.7578987321.

The spelling of 1385293112 in words is "one billion, three hundred eighty-five million, two hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 29 49 56 58 98 116 196 203 232 233 392 406 466 523 812 932 1046 1421 1624 1631 1864 2092 2842 3262 3661 4184 5684 6524 6757 7322 11368 11417 13048 13514 14644 15167 22834 25627 27028 29288 30334 45668 47299 51254 54056 60668 91336 94598 102508 106169 121336 121859 189196 205016 212338 243718 331093 378392 424676 487436 662186 743183 849352 853013 974872 1324372 1486366 1706026 2648744 2972732 3412052 3533911 5945464 5971091 6824104 7067822 11942182 14135644 23884364 24737377 28271288 47768728 49474754 98949508 173161639 197899016 346323278 692646556 1385293112