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4422517056 = 26343723057
BaseRepresentation
bin1000001111001101…
…00100000101000000
3102102012202010220000
410013212210011000
533024131021211
62010501520000
7214410526506
oct40746440500
912365663800
104422517056
11196a439581
12a35113000
13556317cc9
142dd4da676
151ad3d5656
hex1079a4140

4422517056 has 140 divisors (see below), whose sum is σ = 13464626868. Its totient is φ = 1434267648.

The previous prime is 4422517049. The next prime is 4422517061. The reversal of 4422517056 is 6507152244.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4106246400 + 316270656 = 64080^2 + 17784^2 .

It is a super-2 number, since 2×44225170562 = 39117314221221814272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4422517056.

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 19 ways as a sum of consecutive naturals, for example, 180280 + ... + 203336.

Almost surely, 24422517056 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 4422517056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732313434).

4422517056 is an abundant number, since it is smaller than the sum of its proper divisors (9042109812).

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

4422517056 is a wasteful number, since it uses less digits than its factorization.

4422517056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23118 (or 23099 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 4422517056 is about 66502.0079095361. The cubic root of 4422517056 is about 1641.4330444755.

The spelling of 4422517056 in words is "four billion, four hundred twenty-two million, five hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 81 96 108 111 144 148 162 192 216 222 288 296 324 333 432 444 576 592 648 666 864 888 999 1184 1296 1332 1728 1776 1998 2368 2592 2664 2997 3552 3996 5184 5328 5994 7104 7992 10656 11988 15984 21312 23057 23976 31968 46114 47952 63936 69171 92228 95904 138342 184456 191808 207513 276684 368912 415026 553368 622539 737824 830052 853109 1106736 1245078 1475648 1660104 1706218 1867617 2213472 2490156 2559327 3320208 3412436 3735234 4426944 4980312 5118654 6640416 6824872 7470468 7677981 9960624 10237308 13280832 13649744 14940936 15355962 19921248 20474616 23033943 27299488 29881872 30711924 39842496 40949232 46067886 54598976 59763744 61423848 69101829 81898464 92135772 119527488 122847696 138203658 163796928 184271544 245695392 276407316 368543088 491390784 552814632 737086176 1105629264 1474172352 2211258528 4422517056