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4541453340 = 22351910338677
BaseRepresentation
bin1000011101011000…
…10001010000011100
3102201111112201210120
410032230101100130
533300103001330
62030351034540
7220353500514
oct41654212034
912644481716
104541453340
111a20594126
12a68b0ba50
13574b5b9c8
1431121a844
151b8a7ac10
hex10eb1141c

4541453340 has 96 divisors (see below), whose sum is σ = 13515640320. Its totient is φ = 1136146176.

The previous prime is 4541453333. The next prime is 4541453341. The reversal of 4541453340 is 433541454.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4541453341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98082 + ... + 136758.

It is an arithmetic number, because the mean of its divisors is an integer number (140787920).

Almost surely, 24541453340 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 4541453340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757820160).

4541453340 is an abundant number, since it is smaller than the sum of its proper divisors (8974186980).

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

4541453340 is a wasteful number, since it uses less digits than its factorization.

4541453340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38811 (or 38809 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The square root of 4541453340 is about 67390.3059794211. The cubic root of 4541453340 is about 1656.0176154513.

Adding to 4541453340 its reverse (433541454), we get a palindrome (4974994794).

The spelling of 4541453340 in words is "four billion, five hundred forty-one million, four hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 103 114 190 206 228 285 309 380 412 515 570 618 1030 1140 1236 1545 1957 2060 3090 3914 5871 6180 7828 9785 11742 19570 23484 29355 38677 39140 58710 77354 116031 117420 154708 193385 232062 386770 464124 580155 734863 773540 1160310 1469726 2204589 2320620 2939452 3674315 3983731 4409178 7348630 7967462 8818356 11022945 11951193 14697260 15934924 19918655 22045890 23902386 39837310 44091780 47804772 59755965 75690889 79674620 119511930 151381778 227072667 239023860 302763556 378454445 454145334 756908890 908290668 1135363335 1513817780 2270726670 4541453340