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4513410040 = 235533675801
BaseRepresentation
bin1000011010000010…
…10010101111111000
3102122112202222121211
410031001102233320
533220413110130
62023510012504
7216563231566
oct41501225770
912575688554
104513410040
111a0677a847
12a5b647134
1356c0c0539
1430b5daa36
151b638ba2a
hex10d052bf8

4513410040 has 64 divisors (see below), whose sum is σ = 10376760960. Its totient is φ = 1766169600.

The previous prime is 4513410017. The next prime is 4513410071. The reversal of 4513410040 is 400143154.

It is a junction number, because it is equal to n+sod(n) for n = 4513409993 and 4513410020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 775140 + ... + 780940.

It is an arithmetic number, because the mean of its divisors is an integer number (162136890).

Almost surely, 24513410040 is an apocalyptic number.

4513410040 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 4513410040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5188380480).

4513410040 is an abundant number, since it is smaller than the sum of its proper divisors (5863350920).

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

4513410040 is a wasteful number, since it uses less digits than its factorization.

4513410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6232 (or 6228 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 4513410040 is about 67181.9175076151. The cubic root of 4513410040 is about 1652.6019601971.

Adding to 4513410040 its reverse (400143154), we get a palindrome (4913553194).

The spelling of 4513410040 in words is "four billion, five hundred thirteen million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 367 424 530 734 1060 1468 1835 2120 2936 3670 5801 7340 11602 14680 19451 23204 29005 38902 46408 58010 77804 97255 116020 155608 194510 232040 307453 389020 614906 778040 1229812 1537265 2128967 2459624 3074530 4257934 6149060 8515868 10644835 12298120 17031736 21289670 42579340 85158680 112835251 225670502 451341004 564176255 902682008 1128352510 2256705020 4513410040