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729942864 = 24373170079
BaseRepresentation
bin101011100000100…
…000101101010000
31212212111221100220
4223200200231100
52443331132424
6200233113040
724042261210
oct5340405520
91785457326
10729942864
11345040972
12184558780
13b82c4371
146cd30240
1544139579
hex2b820b50

729942864 has 80 divisors (see below), whose sum is σ = 2224619520. Its totient is φ = 201824640.

The previous prime is 729942839. The next prime is 729942869. The reversal of 729942864 is 468249927.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729942869) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 24624 + ... + 45455.

It is an arithmetic number, because the mean of its divisors is an integer number (27807744).

Almost surely, 2729942864 is an apocalyptic number.

It is an amenable number.

729942864 is an abundant number, since it is smaller than the sum of its proper divisors (1494676656).

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

729942864 is a wasteful number, since it uses less digits than its factorization.

729942864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70128 (or 70122 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The square root of 729942864 is about 27017.4548024051. The cubic root of 729942864 is about 900.3878427170.

The spelling of 729942864 in words is "seven hundred twenty-nine million, nine hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 10416 70079 140158 210237 280316 420474 490553 560632 840948 981106 1121264 1471659 1681896 1962212 2172449 2943318 3363792 3924424 4344898 5886636 6517347 7848848 8689796 11773272 13034694 15207143 17379592 23546544 26069388 30414286 34759184 45621429 52138776 60828572 91242858 104277552 121657144 182485716 243314288 364971432 729942864