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729113088 = 2931123923
BaseRepresentation
bin101011011101010…
…110001000000000
31212210221210010110
4223131112020000
52443123104323
6200203231320
724032234064
oct5335261000
91783853113
10729113088
11344624500
12184218540
13b8093782
146cb95aa4
1544023793
hex2b756200

729113088 has 120 divisors (see below), whose sum is σ = 2135582064. Its totient is φ = 220887040.

The previous prime is 729113081. The next prime is 729113089. The reversal of 729113088 is 880311927.

It is not an unprimeable number, because it can be changed into a prime (729113081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183895 + ... + 187817.

Almost surely, 2729113088 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 729113088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067791032).

729113088 is an abundant number, since it is smaller than the sum of its proper divisors (1406468976).

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

729113088 is a wasteful number, since it uses less digits than its factorization.

729113088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3966 (or 3939 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 729113088 is about 27002.0941410106. The cubic root of 729113088 is about 900.0465358654.

The spelling of 729113088 in words is "seven hundred twenty-nine million, one hundred thirteen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1056 1408 1452 1536 1936 2112 2816 2904 3872 3923 4224 5632 5808 7744 7846 8448 11616 11769 15488 15692 16896 23232 23538 30976 31384 43153 46464 47076 61952 62768 86306 92928 94152 125536 129459 172612 185856 188304 251072 258918 345224 376608 474683 502144 517836 690448 753216 949366 1004288 1035672 1380896 1424049 1506432 1898732 2008576 2071344 2761792 2848098 3012864 3797464 4142688 5523584 5696196 6025728 7594928 8285376 11047168 11392392 15189856 16570752 22094336 22784784 30379712 33141504 45569568 60759424 66283008 91139136 121518848 182278272 243037696 364556544 729113088