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1293814648 = 237172275987
BaseRepresentation
bin100110100011110…
…0000101101111000
310100011112121001001
41031013200231320
510122204032043
6332214534344
744030146240
oct11507405570
93304477031
101293814648
11604363105
123013673b4
131780807c9
14c3b90b20
15788bc74d
hex4d1e0b78

1293814648 has 64 divisors (see below), whose sum is σ = 2948970240. Its totient is φ = 519489024.

The previous prime is 1293814591. The next prime is 1293814681. The reversal of 1293814648 is 8464183921.

It is a junction number, because it is equal to n+sod(n) for n = 1293814598 and 1293814607.

It is a congruent number.

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, 213111 + ... + 219097.

It is an arithmetic number, because the mean of its divisors is an integer number (46077660).

Almost surely, 21293814648 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 1293814648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474485120).

1293814648 is an abundant number, since it is smaller than the sum of its proper divisors (1655155592).

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

1293814648 is a wasteful number, since it uses less digits than its factorization.

1293814648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6244 (or 6240 counting only the distinct ones).

The product of its digits is 331776, while the sum is 46.

The square root of 1293814648 is about 35969.6350829418. The cubic root of 1293814648 is about 1089.6591948588.

The spelling of 1293814648 in words is "one billion, two hundred ninety-three million, eight hundred fourteen thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 227 238 454 476 908 952 1589 1816 3178 3859 5987 6356 7718 11974 12712 15436 23948 27013 30872 41909 47896 54026 83818 101779 108052 167636 203558 216104 335272 407116 712453 814232 1359049 1424906 2718098 2849812 5436196 5699624 9513343 10872392 19026686 23103833 38053372 46207666 76106744 92415332 161726831 184830664 323453662 646907324 1293814648