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4073033172 = 22313211091811
BaseRepresentation
bin1111001011000101…
…1000110111010100
3101111212010112010110
43302301120313110
531320144030142
61512055123020
7202635132165
oct36261306724
911455115113
104073033172
11180013711a
12958073470
134cbab2a00
142a8d2576c
1518c89e99c
hexf2c58dd4

4073033172 has 72 divisors (see below), whose sum is σ = 10306003680. Its totient is φ = 1251419520.

The previous prime is 4073033137. The next prime is 4073033189. The reversal of 4073033172 is 2713303704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2248147 + ... + 2249957.

It is an arithmetic number, because the mean of its divisors is an integer number (143138940).

Almost surely, 24073033172 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 4073033172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5153001840).

4073033172 is an abundant number, since it is smaller than the sum of its proper divisors (6232970508).

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

4073033172 is a wasteful number, since it uses less digits than its factorization.

4073033172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2953 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 30.

The square root of 4073033172 is about 63820.3194288465. The cubic root of 4073033172 is about 1597.0039207994.

Adding to 4073033172 its reverse (2713303704), we get a palindrome (6786336876).

The spelling of 4073033172 in words is "four billion, seventy-three million, thirty-three thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1109 1811 2028 2218 3327 3622 4436 5433 6654 7244 10866 13308 14417 21732 23543 28834 43251 47086 57668 70629 86502 94172 141258 173004 187421 282516 306059 374842 562263 612118 749684 918177 1124526 1224236 1836354 2008399 2249052 3672708 4016798 6025197 8033596 12050394 24100788 26109187 52218374 78327561 104436748 156655122 313310244 339419431 678838862 1018258293 1357677724 2036516586 4073033172