Search a number
-
+
4545040240 = 2451341106591
BaseRepresentation
bin1000011101110011…
…11100111101110000
3102201202021222002201
410032321330331300
533302012241430
62030555552544
7220426130116
oct41671747560
912652258081
104545040240
111a22614004
12a6a15b754
13575816530
143118b1ab6
151b90388ca
hex10ee7cf70

4545040240 has 80 divisors (see below), whose sum is σ = 11657753856. Its totient is φ = 1637222400.

The previous prime is 4545040223. The next prime is 4545040249. The reversal of 4545040240 is 420405454.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 4545040199 and 4545040208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4545040249) by changing a digit.

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, 10656 + ... + 95935.

Almost surely, 24545040240 is an apocalyptic number.

4545040240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4545040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828876928).

4545040240 is an abundant number, since it is smaller than the sum of its proper divisors (7112713616).

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

4545040240 is a wasteful number, since it uses less digits than its factorization.

4545040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106658 (or 106652 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 28.

The square root of 4545040240 is about 67416.9136048218. The cubic root of 4545040240 is about 1656.4534822692.

Adding to 4545040240 its reverse (420405454), we get a palindrome (4965445694).

The spelling of 4545040240 in words is "four billion, five hundred forty-five million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 656 820 1040 1066 1640 2132 2665 3280 4264 5330 8528 10660 21320 42640 106591 213182 426364 532955 852728 1065910 1385683 1705456 2131820 2771366 4263640 4370231 5542732 6928415 8527280 8740462 11085464 13856830 17480924 21851155 22170928 27713660 34961848 43702310 55427320 56813003 69923696 87404620 110854640 113626006 174809240 227252012 284065015 349618480 454504024 568130030 909008048 1136260060 2272520120 4545040240