Search a number
-
+
4073955642 = 233194918087
BaseRepresentation
bin1111001011010011…
…1010000100111010
3101111220212101112000
43302310322010322
531320413040032
61512131001430
7202646023461
oct36264720472
911456771460
104073955642
111800707199
12958439276
134cc046853
142a90c59d8
1518c9d2e7c
hexf2d3a13a

4073955642 has 64 divisors (see below), whose sum is σ = 9550310400. Its totient is φ = 1283733360.

The previous prime is 4073955631. The next prime is 4073955643. The reversal of 4073955642 is 2465593704.

It is a super-2 number, since 2×40739556422 = 33194229145967264328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4073955643) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 499723 + ... + 507809.

It is an arithmetic number, because the mean of its divisors is an integer number (149223600).

Almost surely, 24073955642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4073955642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4775155200).

4073955642 is an abundant number, since it is smaller than the sum of its proper divisors (5476354758).

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

4073955642 is a wasteful number, since it uses less digits than its factorization.

4073955642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8608 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 4073955642 is about 63827.5461066772. The cubic root of 4073955642 is about 1597.1244760827.

The spelling of 4073955642 in words is "four billion, seventy-three million, nine hundred fifty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 491 513 982 1026 1473 2946 4419 8087 8838 9329 13257 16174 18658 24261 26514 27987 48522 55974 72783 83961 145566 153653 167922 218349 251883 307306 436698 460959 503766 921918 1382877 2765754 3970717 4148631 7941434 8297262 11912151 23824302 35736453 71472906 75443623 107209359 150887246 214418718 226330869 452661738 678992607 1357985214 2036977821 4073955642