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4073225968 = 247731313803
BaseRepresentation
bin1111001011001000…
…0111111011110000
3101111212111022121001
43302302013323300
531320221212333
61512103211344
7202636564240
oct36262077360
911455438531
104073225968
111800258a59
12958146b54
134cbb4c6a6
142a8d75b20
1518c8dbb7d
hexf2c87ef0

4073225968 has 80 divisors (see below), whose sum is σ = 9215053056. Its totient is φ = 1708162560.

The previous prime is 4073225929. The next prime is 4073225969. The reversal of 4073225968 is 8695223704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073225969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1069155 + ... + 1072957.

Almost surely, 24073225968 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 4073225968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4607526528).

4073225968 is an abundant number, since it is smaller than the sum of its proper divisors (5141827088).

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

4073225968 is a wasteful number, since it uses less digits than its factorization.

4073225968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4016 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The square root of 4073225968 is about 63821.8298703508. The cubic root of 4073225968 is about 1597.0291183281.

The spelling of 4073225968 in words is "four billion, seventy-three million, two hundred twenty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 131 146 262 292 511 524 584 917 1022 1048 1168 1834 2044 2096 3668 3803 4088 7336 7606 8176 9563 14672 15212 19126 26621 30424 38252 53242 60848 66941 76504 106484 133882 153008 212968 267764 277619 425936 498193 535528 555238 996386 1071056 1110476 1943333 1992772 2220952 3487351 3886666 3985544 4441904 6974702 7773332 7971088 13949404 15546664 27898808 31093328 36368089 55797616 72736178 145472356 254576623 290944712 509153246 581889424 1018306492 2036612984 4073225968