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3679729728 = 263296411031
BaseRepresentation
bin1101101101010100…
…0011100001000000
3100111110001122020020
43123111003201000
530014002322403
61405045213440
7160121121003
oct33325034100
910443048206
103679729728
111619125454
12868401280
1346847748c
1426c9c553a
151680b0453
hexdb543840

3679729728 has 112 divisors (see below), whose sum is σ = 10097170560. Its totient is φ = 1181286400.

The previous prime is 3679729723. The next prime is 3679729789. The reversal of 3679729728 is 8279279763.

It is a super-2 number, since 2×36797297282 = 27080821742253907968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3679729723) 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 15 ways as a sum of consecutive naturals, for example, 3568573 + ... + 3569603.

Almost surely, 23679729728 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 3679729728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5048585280).

3679729728 is an abundant number, since it is smaller than the sum of its proper divisors (6417440832).

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

3679729728 is a wasteful number, since it uses less digits than its factorization.

3679729728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1706 counting only the distinct ones).

The product of its digits is 16003008, while the sum is 60.

The square root of 3679729728 is about 60660.7758605180. The cubic root of 3679729728 is about 1543.8507287659.

The spelling of 3679729728 in words is "three billion, six hundred seventy-nine million, seven hundred twenty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 641 696 928 1031 1282 1392 1856 1923 2062 2564 2784 3093 3846 4124 5128 5568 6186 7692 8248 10256 12372 15384 16496 18589 20512 24744 29899 30768 32992 37178 41024 49488 55767 59798 61536 65984 74356 89697 98976 111534 119596 123072 148712 179394 197952 223068 239192 297424 358788 446136 478384 594848 660871 717576 892272 956768 1189696 1321742 1435152 1784544 1913536 1982613 2643484 2870304 3569088 3965226 5286968 5740608 7930452 10573936 15860904 19165259 21147872 31721808 38330518 42295744 57495777 63443616 76661036 114991554 126887232 153322072 229983108 306644144 459966216 613288288 919932432 1226576576 1839864864 3679729728