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1329942592 = 261110318341
BaseRepresentation
bin100111101000101…
…0101000001000000
310102200112002021001
41033101111001000
510210431130332
6335545141344
744646216436
oct11721250100
93380462231
101329942592
11622799610
1231148a854
131826bcaa4
14c88b6d56
157bb570e7
hex4f455040

1329942592 has 56 divisors (see below), whose sum is σ = 2907133632. Its totient is φ = 598617600.

The previous prime is 1329942587. The next prime is 1329942611. The reversal of 1329942592 is 2952499231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63342 + ... + 81682.

Almost surely, 21329942592 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 1329942592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453566816).

1329942592 is an abundant number, since it is smaller than the sum of its proper divisors (1577191040).

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

1329942592 is a wasteful number, since it uses less digits than its factorization.

1329942592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18467 (or 18457 counting only the distinct ones).

The product of its digits is 349920, while the sum is 46.

The square root of 1329942592 is about 36468.3779732524. The cubic root of 1329942592 is about 1099.7086258563.

The spelling of 1329942592 in words is "one billion, three hundred twenty-nine million, nine hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 176 206 352 412 704 824 1133 1648 2266 3296 4532 6592 9064 18128 18341 36256 36682 72512 73364 146728 201751 293456 403502 586912 807004 1173824 1614008 1889123 3228016 3778246 6456032 7556492 12912064 15112984 20780353 30225968 41560706 60451936 83121412 120903872 166242824 332485648 664971296 1329942592