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4505234000 = 24537131727
BaseRepresentation
bin1000011001000100…
…00110101001010000
3102121222101121012112
410030202012221100
533211314442000
62023014444452
7216433600001
oct41442065120
912558347175
104505234000
111a020a5a93
12a58963728
1356a4b9c47
1430a4ad1a8
151b57c4235
hex10c886a50

4505234000 has 80 divisors (see below), whose sum is σ = 11047435776. Its totient is φ = 1776656000.

The previous prime is 4505233987. The next prime is 4505234009. The reversal of 4505234000 is 4325054.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4505234009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126137 + ... + 157863.

Almost surely, 24505234000 is an apocalyptic number.

4505234000 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 4505234000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5523717888).

4505234000 is an abundant number, since it is smaller than the sum of its proper divisors (6542201776).

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

4505234000 is a wasteful number, since it uses less digits than its factorization.

4505234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31821 (or 31805 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 4505234000 is about 67121.0399204303. The cubic root of 4505234000 is about 1651.6034611562.

Adding to 4505234000 its reverse (4325054), we get a palindrome (4509559054).

The spelling of 4505234000 in words is "four billion, five hundred five million, two hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 71 80 100 125 142 200 250 284 355 400 500 568 710 1000 1136 1420 1775 2000 2840 3550 5680 7100 8875 14200 17750 28400 31727 35500 63454 71000 126908 142000 158635 253816 317270 507632 634540 793175 1269080 1586350 2252617 2538160 3172700 3965875 4505234 6345400 7931750 9010468 11263085 12690800 15863500 18020936 22526170 31727000 36041872 45052340 56315425 63454000 90104680 112630850 180209360 225261700 281577125 450523400 563154250 901046800 1126308500 2252617000 4505234000