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4420124032 = 27172239109
BaseRepresentation
bin1000001110111010…
…11011110110000000
3102102001020120021111
410013131123312000
533023022432112
62010334333104
7214351301662
oct40735336600
912361216244
104420124032
111969054675
12a3435a194
1355598aa0c
142dd076532
151ad0b15a7
hex10775bd80

4420124032 has 64 divisors (see below), whose sum is σ = 9366537600. Its totient is φ = 2070503424.

The previous prime is 4420123993. The next prime is 4420124041. The reversal of 4420124032 is 2304210244.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 4420123994 and 4420124012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480694 + ... + 489802.

It is an arithmetic number, because the mean of its divisors is an integer number (146352150).

Almost surely, 24420124032 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 4420124032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4683268800).

4420124032 is an abundant number, since it is smaller than the sum of its proper divisors (4946413568).

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

4420124032 is a wasteful number, since it uses less digits than its factorization.

4420124032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9363 (or 9351 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 4420124032 is about 66484.0133565957. The cubic root of 4420124032 is about 1641.1369312508.

Adding to 4420124032 its reverse (2304210244), we get a palindrome (6724334276).

The spelling of 4420124032 in words is "four billion, four hundred twenty million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 223 272 446 544 892 1088 1784 2176 3568 3791 7136 7582 9109 14272 15164 18218 28544 30328 36436 60656 72872 121312 145744 154853 242624 291488 309706 485248 582976 619412 1165952 1238824 2031307 2477648 4062614 4955296 8125228 9910592 16250456 19821184 32500912 34532219 65001824 69064438 130003648 138128876 260007296 276257752 552515504 1105031008 2210062016 4420124032