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4045403504 = 2417353971
BaseRepresentation
bin1111000100011111…
…1111010101110000
3101102221010210100102
43301013333111300
531241110403004
61505231011532
7202151235212
oct36107772560
911387123312
104045403504
11179658558a
1294a969ba8
134c615a8ac
142a53b25b2
1518a24311e
hexf11ff570

4045403504 has 80 divisors (see below), whose sum is σ = 8493608160. Its totient is φ = 1865876480.

The previous prime is 4045403489. The next prime is 4045403543. The reversal of 4045403504 is 4053045404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4165739 + ... + 4166709.

It is an arithmetic number, because the mean of its divisors is an integer number (106170102).

Almost surely, 24045403504 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 4045403504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246804080).

4045403504 is an abundant number, since it is smaller than the sum of its proper divisors (4448204656).

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

4045403504 is an equidigital number, since it uses as much as digits as its factorization.

4045403504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 29.

The square root of 4045403504 is about 63603.4865710992. The cubic root of 4045403504 is about 1593.3846000828.

Adding to 4045403504 its reverse (4053045404), we get a palindrome (8098448908).

The spelling of 4045403504 in words is "four billion, forty-five million, four hundred three thousand, five hundred four".

Divisors: 1 2 4 8 16 17 34 53 68 106 136 212 272 289 424 578 848 901 971 1156 1802 1942 2312 3604 3884 4624 4913 7208 7768 9826 14416 15317 15536 16507 19652 30634 33014 39304 51463 61268 66028 78608 102926 122536 132056 205852 245072 260389 264112 280619 411704 520778 561238 823408 874871 1041556 1122476 1749742 2083112 2244952 3499484 4166224 4489904 4770523 6998968 9541046 13997936 14872807 19082092 29745614 38164184 59491228 76328368 118982456 237964912 252837719 505675438 1011350876 2022701752 4045403504