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1029465693 = 3429538269
BaseRepresentation
bin111101010111000…
…110011001011101
32122202010021110000
4331113012121131
54102020400233
6250053004513
734340212464
oct7527063135
92582107400
101029465693
114891198a3
12248923739
13135385bc9
149aa1b9db
15605a1d13
hex3d5c665d

1029465693 has 40 divisors (see below), whose sum is σ = 1621085400. Its totient is φ = 650063232.

The previous prime is 1029465691. The next prime is 1029465713. The reversal of 1029465693 is 3965649201.

It can be written as a sum of positive squares in 4 ways, for example, as 497379204 + 532086489 = 22302^2 + 23067^2 .

It is not a de Polignac number, because 1029465693 - 21 = 1029465691 is a prime.

It is a super-2 number, since 2×10294656932 = 2119599226127940498, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1029465691) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120363 + ... + 128631.

It is an arithmetic number, because the mean of its divisors is an integer number (40527135).

Almost surely, 21029465693 is an apocalyptic number.

It is an amenable number.

1029465693 is a deficient number, since it is larger than the sum of its proper divisors (591619707).

1029465693 is an equidigital number, since it uses as much as digits as its factorization.

1029465693 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8363 (or 8354 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 1029465693 is about 32085.2877967457. The cubic root of 1029465693 is about 1009.7269768190.

The spelling of 1029465693 in words is "one billion, twenty-nine million, four hundred sixty-five thousand, six hundred ninety-three".

Divisors: 1 3 9 27 29 53 81 87 159 261 477 783 1431 1537 2349 4293 4611 8269 13833 24807 41499 74421 124497 223263 239801 438257 669789 719403 1314771 2158209 3944313 6474627 11832939 12709453 19423881 35498817 38128359 114385077 343155231 1029465693