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1293696448 = 26114094493
BaseRepresentation
bin100110100011100…
…0011110111000000
310100011022120220021
41031013003313000
510122141241243
6332212223224
744026144522
oct11507036700
93304276807
101293696448
11604292320
1230130ab14
1317803ba75
14c3b5da12
15788976ed
hex4d1c3dc0

1293696448 has 56 divisors (see below), whose sum is σ = 2808030960. Its totient is φ = 586475520.

The previous prime is 1293696431. The next prime is 1293696511. The reversal of 1293696448 is 8446963921.

It is a junction number, because it is equal to n+sod(n) for n = 1293696395 and 1293696404.

It is a congruent number.

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, 285690 + ... + 290182.

It is an arithmetic number, because the mean of its divisors is an integer number (50143410).

Almost surely, 21293696448 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 1293696448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1404015480).

1293696448 is an abundant number, since it is smaller than the sum of its proper divisors (1514334512).

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

1293696448 is a wasteful number, since it uses less digits than its factorization.

1293696448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4925 (or 4915 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 1293696448 is about 35967.9919928817. The cubic root of 1293696448 is about 1089.6260109094.

The spelling of 1293696448 in words is "one billion, two hundred ninety-three million, six hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 352 409 704 818 1636 3272 4493 4499 6544 8986 8998 13088 17972 17996 26176 35944 35992 49423 71888 71984 98846 143776 143968 197692 287552 287936 395384 790768 1581536 1837637 3163072 3675274 7350548 14701096 20214007 29402192 40428014 58804384 80856028 117608768 161712056 323424112 646848224 1293696448