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4427613344 = 2572112311161
BaseRepresentation
bin1000001111110100…
…00000010010100000
3102102120100001200102
410013322000102200
533031432111334
62011203041532
7214502043500
oct40772002240
912376301612
104427613344
1119722aa490
12a369702a8
135573b086b
14300065a00
151ada9067e
hex107e804a0

4427613344 has 144 divisors (see below), whose sum is σ = 11543829696. Its totient is φ = 1649894400.

The previous prime is 4427613343. The next prime is 4427613349. The reversal of 4427613344 is 4433167244.

It is a junction number, because it is equal to n+sod(n) for n = 4427613298 and 4427613307.

It is not an unprimeable number, because it can be changed into a prime (4427613341) 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 23 ways as a sum of consecutive naturals, for example, 391124 + ... + 402284.

It is an arithmetic number, because the mean of its divisors is an integer number (80165484).

Almost surely, 24427613344 is an apocalyptic number.

4427613344 is a gapful number since it is divisible by the number (44) 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 4427613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771914848).

4427613344 is an abundant number, since it is smaller than the sum of its proper divisors (7116216352).

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

4427613344 is a wasteful number, since it uses less digits than its factorization.

4427613344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11219 (or 11204 counting only the distinct ones).

The product of its digits is 193536, while the sum is 38.

The square root of 4427613344 is about 66540.3136752450. The cubic root of 4427613344 is about 1642.0633042920.

The spelling of 4427613344 in words is "four billion, four hundred twenty-seven million, six hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 32 44 46 49 56 77 88 92 98 112 154 161 176 184 196 224 253 308 322 352 368 392 506 539 616 644 736 784 1012 1078 1127 1232 1288 1568 1771 2024 2156 2254 2464 2576 3542 4048 4312 4508 5152 7084 8096 8624 9016 11161 12397 14168 17248 18032 22322 24794 28336 36064 44644 49588 56672 78127 89288 99176 122771 156254 178576 198352 245542 256703 312508 357152 396704 491084 513406 546889 625016 859397 982168 1026812 1093778 1250032 1718794 1796921 1964336 2053624 2187556 2500064 2823733 3437588 3593842 3928672 4107248 4375112 5647466 6015779 6875176 7187684 8214496 8750224 11294932 12031558 12578447 13750352 14375368 17500448 19766131 22589864 24063116 25156894 27500704 28750736 39532262 45179728 48126232 50313788 57501472 79064524 90359456 96252464 100627576 138362917 158129048 192504928 201255152 276725834 316258096 402510304 553451668 632516192 1106903336 2213806672 4427613344