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4420004256 = 253230749991
BaseRepresentation
bin1000001110111001…
…11110100110100000
3102102001000110222100
410013130332212200
533023010114011
62010332010400
7214350262533
oct40734764640
912361013870
104420004256
111968a82688
12a34300a00
13555948345
142dd044a1a
151ad08ad56
hex10773e9a0

4420004256 has 72 divisors (see below), whose sum is σ = 12610581984. Its totient is φ = 1468506240.

The previous prime is 4420004249. The next prime is 4420004279. The reversal of 4420004256 is 6524000244.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×44200042562 = 39072875246116227072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63421 + ... + 113411.

It is an arithmetic number, because the mean of its divisors is an integer number (175146972).

Almost surely, 24420004256 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 4420004256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6305290992).

4420004256 is an abundant number, since it is smaller than the sum of its proper divisors (8190577728).

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

4420004256 is a wasteful number, since it uses less digits than its factorization.

4420004256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50314 (or 50303 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 4420004256 is about 66483.1125625147. The cubic root of 4420004256 is about 1641.1221073385.

The spelling of 4420004256 in words is "four billion, four hundred twenty million, four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 307 614 921 1228 1842 2456 2763 3684 4912 5526 7368 9824 11052 14736 22104 29472 44208 49991 88416 99982 149973 199964 299946 399928 449919 599892 799856 899838 1199784 1599712 1799676 2399568 3599352 4799136 7198704 14397408 15347237 30694474 46041711 61388948 92083422 122777896 138125133 184166844 245555792 276250266 368333688 491111584 552500532 736667376 1105001064 1473334752 2210002128 4420004256