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1293143392 = 25611993329
BaseRepresentation
bin100110100010011…
…1100110101100000
310100010021111020201
41031010330311200
510122021042032
6332152314544
744021352232
oct11504746540
93303244221
101293143392
11603a44852
123010a2a54
13177ba7108
14c3a58252
15787d88e7
hex4d13cd60

1293143392 has 48 divisors (see below), whose sum is σ = 2601396000. Its totient is φ = 632586240.

The previous prime is 1293143387. The next prime is 1293143399. The reversal of 1293143392 is 2933413921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1293143399) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 386784 + ... + 390112.

It is an arithmetic number, because the mean of its divisors is an integer number (54195750).

Almost surely, 21293143392 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 1293143392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300698000).

1293143392 is an abundant number, since it is smaller than the sum of its proper divisors (1308252608).

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

1293143392 is a wasteful number, since it uses less digits than its factorization.

1293143392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3591 counting only the distinct ones).

The product of its digits is 34992, while the sum is 37.

The square root of 1293143392 is about 35960.3030020605. The cubic root of 1293143392 is about 1089.4707168556.

The spelling of 1293143392 in words is "one billion, two hundred ninety-three million, one hundred forty-three thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 61 122 199 244 398 488 796 976 1592 1952 3184 3329 6368 6658 12139 13316 24278 26632 48556 53264 97112 106528 194224 203069 388448 406138 662471 812276 1324942 1624552 2649884 3249104 5299768 6498208 10599536 21199072 40410731 80821462 161642924 323285848 646571696 1293143392