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4073313528 = 233341945007
BaseRepresentation
bin1111001011001001…
…1101010011111000
3101111212122202201000
43302302131103320
531320232013103
61512105125000
7202640410434
oct36262352370
911455582630
104073313528
111800308819
12958189760
134cbb804bb
142a8d999c4
1518c907aa3
hexf2c9d4f8

4073313528 has 64 divisors (see below), whose sum is σ = 11342016000. Its totient is φ = 1354500576.

The previous prime is 4073313521. The next prime is 4073313529. The reversal of 4073313528 is 8253133704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4073313492 and 4073313501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073313521) 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, 68001 + ... + 113007.

It is an arithmetic number, because the mean of its divisors is an integer number (177219000).

Almost surely, 24073313528 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 4073313528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5671008000).

4073313528 is an abundant number, since it is smaller than the sum of its proper divisors (7268702472).

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

4073313528 is a wasteful number, since it uses less digits than its factorization.

4073313528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45441 (or 45431 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4073313528 is about 63822.5158388480. The cubic root of 4073313528 is about 1597.0405617449.

The spelling of 4073313528 in words is "four billion, seventy-three million, three hundred thirteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 419 838 1257 1676 2514 3352 3771 5028 7542 10056 11313 15084 22626 30168 45007 45252 90014 90504 135021 180028 270042 360056 405063 540084 810126 1080168 1215189 1620252 2430378 3240504 4860756 9721512 18857933 37715866 56573799 75431732 113147598 150863464 169721397 226295196 339442794 452590392 509164191 678885588 1018328382 1357771176 2036656764 4073313528