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4027120448 = 26136179349
BaseRepresentation
bin1111000000001000…
…1111101101000000
3101101122201220201012
43300002033231000
531221420323243
61503335100052
7201536646641
oct36002175500
911348656635
104027120448
11178722821a
12944811628
134c2428b10
142a2bb36c8
15188830d18
hexf008fb40

4027120448 has 56 divisors (see below), whose sum is σ = 8747226600. Its totient is φ = 1828177920.

The previous prime is 4027120417. The next prime is 4027120451. The reversal of 4027120448 is 8440217204.

It can be written as a sum of positive squares in 4 ways, for example, as 652904704 + 3374215744 = 25552^2 + 58088^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 11078 + ... + 90426.

It is an arithmetic number, because the mean of its divisors is an integer number (156200475).

Almost surely, 24027120448 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 4027120448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4373613300).

4027120448 is an abundant number, since it is smaller than the sum of its proper divisors (4720106152).

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

4027120448 is a wasteful number, since it uses less digits than its factorization.

4027120448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79435 (or 79425 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 32.

The square root of 4027120448 is about 63459.5969731923. The cubic root of 4027120448 is about 1590.9805599347.

The spelling of 4027120448 in words is "four billion, twenty-seven million, one hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 208 244 416 488 793 832 976 1586 1952 3172 3904 6344 12688 25376 50752 79349 158698 317396 634792 1031537 1269584 2063074 2539168 4126148 4840289 5078336 8252296 9680578 16504592 19361156 33009184 38722312 62923757 66018368 77444624 125847514 154889248 251695028 309778496 503390056 1006780112 2013560224 4027120448