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1029356749 = 171928311261
BaseRepresentation
bin111101010110101…
…011110011001101
32122201220202000001
4331112223303031
54102003403444
6250050404301
734336250041
oct7526536315
92581822001
101029356749
11489054a63
12248890691
13135348445
149a9d0021
156057e8d4
hex3d5abccd

1029356749 has 16 divisors (see below), whose sum is σ = 1151426880. Its totient is φ = 914492160.

The previous prime is 1029356719. The next prime is 1029356791. The reversal of 1029356749 is 9476539201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1029356749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1029356699 and 1029356708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029356719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85779 + ... + 97039.

It is an arithmetic number, because the mean of its divisors is an integer number (71964180).

Almost surely, 21029356749 is an apocalyptic number.

1029356749 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1029356749 is a deficient number, since it is larger than the sum of its proper divisors (122070131).

1029356749 is a wasteful number, since it uses less digits than its factorization.

1029356749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11580.

The product of its (nonzero) digits is 408240, while the sum is 46.

The square root of 1029356749 is about 32083.5900266787. The cubic root of 1029356749 is about 1009.6913571841.

The spelling of 1029356749 in words is "one billion, twenty-nine million, three hundred fifty-six thousand, seven hundred forty-nine".

Divisors: 1 17 19 283 323 4811 5377 11261 91409 191437 213959 3186863 3637303 54176671 60550397 1029356749