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729803742 = 231914911297
BaseRepresentation
bin101011011111111…
…110101111011110
31212212020212112020
4223133332233132
52443312204432
6200230121010
724041141463
oct5337765736
91785225466
10729803742
11344a56398
121844b0166
13b8275c45
146ccd566a
154410d22c
hex2b7febde

729803742 has 32 divisors (see below), whose sum is σ = 1471371264. Its totient is φ = 241315200.

The previous prime is 729803741. The next prime is 729803759. The reversal of 729803742 is 247308927.

It is a super-2 number, since 2×7298037422 = 1065227003674405128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 729803694 and 729803703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (729803741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 562038 + ... + 563334.

It is an arithmetic number, because the mean of its divisors is an integer number (45980352).

Almost surely, 2729803742 is an apocalyptic number.

729803742 is an abundant number, since it is smaller than the sum of its proper divisors (741567522).

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

729803742 is a wasteful number, since it uses less digits than its factorization.

729803742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984.

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 729803742 is about 27014.8800108385. The cubic root of 729803742 is about 900.3306365426.

The spelling of 729803742 in words is "seven hundred twenty-nine million, eight hundred three thousand, seven hundred forty-two".

Divisors: 1 2 3 6 191 382 491 573 982 1146 1297 1473 2594 2946 3891 7782 93781 187562 247727 281343 495454 562686 636827 743181 1273654 1486362 1910481 3820962 121633957 243267914 364901871 729803742