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729351042 = 237113239643
BaseRepresentation
bin101011011110010…
…000001110000010
31212211101212112120
4223132100032002
52443203213132
6200212305110
724034244610
oct5336201602
91784355476
10729351042
11344777262
12184312196
13b8147b84
146cc186b0
154406e02c
hex2b790382

729351042 has 64 divisors (see below), whose sum is σ = 1691504640. Its totient is φ = 205357824.

The previous prime is 729351041. The next prime is 729351059. The reversal of 729351042 is 240153927.

It is a junction number, because it is equal to n+sod(n) for n = 729350994 and 729351012.

It is not an unprimeable number, because it can be changed into a prime (729351041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1133973 + ... + 1134615.

It is an arithmetic number, because the mean of its divisors is an integer number (26429760).

Almost surely, 2729351042 is an apocalyptic number.

It is a pronic number, being equal to 27006×27007.

729351042 is an abundant number, since it is smaller than the sum of its proper divisors (962153598).

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

729351042 is a wasteful number, since it uses less digits than its factorization.

729351042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007.

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 729351042 is about 27006.4999953715. The cubic root of 729351042 is about 900.1444385466.

The spelling of 729351042 in words is "seven hundred twenty-nine million, three hundred fifty-one thousand, forty-two".

Divisors: 1 2 3 6 7 14 21 42 113 226 239 339 478 643 678 717 791 1286 1434 1582 1673 1929 2373 3346 3858 4501 4746 5019 9002 10038 13503 27006 27007 54014 72659 81021 145318 153677 162042 189049 217977 307354 378098 435954 461031 508613 567147 922062 1017226 1075739 1134294 1525839 2151478 3051678 3227217 6454434 17365501 34731002 52096503 104193006 121558507 243117014 364675521 729351042