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4364522040 = 2335296718719
BaseRepresentation
bin1000001000010010…
…10101001000111000
3102021011121200200110
410010021111020320
532414304201130
62001030504320
7213104553024
oct40411251070
912234550613
104364522040
11193a72800a
12a198050a0
135472c0828
142d5921384
151a827bab0
hex104255238

4364522040 has 128 divisors (see below), whose sum is σ = 13747968000. Its totient is φ = 1106907648.

The previous prime is 4364522033. The next prime is 4364522093. The reversal of 4364522040 is 402254634.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4364521989 and 4364522007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 223801 + ... + 242519.

It is an arithmetic number, because the mean of its divisors is an integer number (107406000).

Almost surely, 24364522040 is an apocalyptic number.

4364522040 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 4364522040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6873984000).

4364522040 is an abundant number, since it is smaller than the sum of its proper divisors (9383445960).

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

4364522040 is a wasteful number, since it uses less digits than its factorization.

4364522040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18829 (or 18825 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4364522040 is about 66064.5293633429. The cubic root of 4364522040 is about 1634.2264312792.

Adding to 4364522040 its reverse (402254634), we get a palindrome (4766776674).

The spelling of 4364522040 in words is "four billion, three hundred sixty-four million, five hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 67 87 116 120 134 145 174 201 232 268 290 335 348 402 435 536 580 670 696 804 870 1005 1160 1340 1608 1740 1943 2010 2680 3480 3886 4020 5829 7772 8040 9715 11658 15544 18719 19430 23316 29145 37438 38860 46632 56157 58290 74876 77720 93595 112314 116580 149752 187190 224628 233160 280785 374380 449256 542851 561570 748760 1085702 1123140 1254173 1628553 2171404 2246280 2508346 2714255 3257106 3762519 4342808 5016692 5428510 6270865 6514212 7525038 8142765 10033384 10857020 12541730 13028424 15050076 16285530 18812595 21714040 25083460 30100152 32571060 36371017 37625190 50166920 65142120 72742034 75250380 109113051 145484068 150500760 181855085 218226102 290968136 363710170 436452204 545565255 727420340 872904408 1091130510 1454840680 2182261020 4364522040